NUMB1L2
FILE INFORMATION
FILENAME(S): NUMB1L2
FILE TYPE(S): PRG
FILE SIZE: 4.9K
FIRST SEEN: 2025-10-19 22:49:00
APPEARS ON: 1 disk(s)
FILE HASH
a04e1d6e5403252aec096411587aea83012a6fb5d1bf1ac3ed6d0d2306c4dc06
FOUND ON DISKS (1 DISKS)
| DISK TITLE | FILENAME | FILE TYPE | COLLECTION | TRACK | SECTOR | ACTIONS |
|---|---|---|---|---|---|---|
| HHM 100785 41S2 | NUMB1L2 | PRG | Radd Maxx | 10 | 19 | DOWNLOAD FILE |
FILE CONTENT & ANALYSIS
00000000: 20 41 20 20 40 71 7B 7D 40 64 67 30 36 26 64 28 | A @q{}@dg06&d(|
00000010: 32 2C 45 51 55 41 54 49 4F 4E 29 26 64 28 35 2C |2,EQUATION)&d(5,|
00000020: 43 48 45 43 4B 29 40 72 52 45 41 44 40 70 52 65 |CHECK)@rREAD@pRe|
00000030: 61 64 20 74 68 65 20 70 72 6F 62 6C 65 6D 20 73 |ad the problem s|
00000040: 6C 6F 77 6C 79 20 61 6E 64 20 63 61 72 65 66 75 |lowly and carefu|
00000050: 6C 6C 79 2E 20 57 68 61 74 20 69 73 20 62 65 69 |lly. What is bei|
00000060: 6E 67 20 61 73 6B 65 64 3F 5C 6E 20 20 28 50 72 |ng asked?\n (Pr|
00000070: 65 73 73 20 61 6E 79 20 6B 65 79 20 74 6F 20 63 |ess any key to c|
00000080: 6F 6E 74 69 6E 75 65 29 2E 40 68 57 68 61 74 20 |ontinue).@hWhat |
00000090: 69 73 20 62 65 69 6E 67 20 61 73 6B 65 64 3F 20 |is being asked? |
000000A0: 59 6F 75 20 61 72 65 20 62 65 69 6E 67 20 61 73 |You are being as|
000000B0: 6B 65 64 20 74 6F 20 66 69 6E 64 20 74 68 65 20 |ked to find the |
000000C0: 75 6E 6B 6E 6F 77 6E 20 6E 75 6D 62 65 72 2E 40 |unknown number.@|
000000D0: 68 54 68 65 20 70 72 6F 62 6C 65 6D 20 69 73 20 |hThe problem is |
000000E0: 74 6F 20 66 69 6E 64 20 7B 7D 2E 26 71 57 68 61 |to find {}.&qWha|
000000F0: 74 20 69 73 20 74 68 65 20 6E 75 6D 62 65 72 3F |t is the number?|
00000100: 26 71 40 69 28 30 29 40 72 50 4C 41 4E 40 70 43 |&q@i(0)@rPLAN@pC|
00000110: 68 6F 6F 73 65 20 61 20 76 61 72 69 61 62 6C 65 |hoose a variable|
00000120: 20 74 6F 20 72 65 70 72 65 73 65 6E 74 20 74 68 | to represent th|
00000130: 65 20 75 6E 6B 6E 6F 77 6E 20 6E 75 6D 62 65 72 |e unknown number|
00000140: 2E 40 68 55 73 65 20 61 6E 79 20 6C 65 74 74 65 |.@hUse any lette|
00000150: 72 20 61 73 20 61 20 76 61 72 69 61 62 6C 65 20 |r as a variable |
00000160: 74 6F 20 72 65 70 72 65 73 65 6E 74 20 74 68 65 |to represent the|
00000170: 20 75 6E 6B 6E 6F 77 6E 20 6E 75 6D 62 65 72 2E | unknown number.|
00000180: 40 68 43 68 6F 6F 73 65 20 61 6E 79 20 6C 65 74 |@hChoose any let|
00000190: 74 65 72 2C 20 73 75 63 68 20 61 73 20 60 6E 27 |ter, such as `n'|
000001A0: 20 74 6F 20 72 65 70 72 65 73 65 6E 74 20 74 68 | to represent th|
000001B0: 65 20 75 6E 6B 6E 6F 77 6E 20 6E 75 6D 62 65 72 |e unknown number|
000001C0: 2E 40 69 28 31 2C 69 2C 26 76 29 26 64 28 31 2C |.@i(1,i,&v)&d(1,|
000001D0: 54 68 65 20 75 6E 6B 6E 6F 77 6E 20 6E 75 6D 62 |The unknown numb|
000001E0: 65 72 20 69 73 3A 20 26 76 29 40 70 54 72 61 6E |er is: &v)@pTran|
000001F0: 73 6C 61 74 65 20 74 68 65 20 66 69 72 73 74 20 |slate the first |
00000200: 70 68 72 61 73 65 20 69 6E 74 6F 20 61 20 6D 61 |phrase into a ma|
00000210: 74 68 65 6D 61 74 69 63 61 6C 20 65 78 70 72 65 |thematical expre|
00000220: 73 73 69 6F 6E 2E 26 71 7B 7D 26 71 40 68 22 7B |ssion.&q{}&q@h"{|
00000230: 7D 22 20 69 73 20 74 68 65 20 70 68 72 61 73 65 |}" is the phrase|
00000240: 20 74 6F 20 62 65 20 74 72 61 6E 73 6C 61 74 65 | to be translate|
00000250: 64 2E 40 68 53 74 61 72 74 20 77 69 74 68 20 7B |d.@hStart with {|
00000260: 7D 2E 20 45 6E 74 65 72 20 60 7B 7D 27 2E 40 69 |}. Enter `{}'.@i|
00000270: 28 33 2C 69 2C 7B 7D 29 40 70 54 72 61 6E 73 6C |(3,i,{})@pTransl|
00000280: 61 74 65 20 74 68 65 20 72 65 73 74 20 6F 66 20 |ate the rest of |
00000290: 74 68 65 20 70 72 6F 62 6C 65 6D 2E 26 71 7B 7D |the problem.&q{}|
000002A0: 26 71 40 68 22 7B 7D 22 20 69 73 20 74 68 65 20 |&q@h"{}" is the |
000002B0: 70 68 72 61 73 65 20 74 6F 20 62 65 20 74 72 61 |phrase to be tra|
000002C0: 6E 73 6C 61 74 65 64 2E 40 68 54 6F 20 74 72 61 |nslated.@hTo tra|
000002D0: 6E 73 6C 61 74 65 20 7B 7D 2C 20 65 6E 74 65 72 |nslate {}, enter|
000002E0: 20 20 20 60 7B 7D 27 2E 40 69 28 33 2C 6A 2C 7B | `{}'.@i(3,j,{|
000002F0: 7D 29 40 73 40 72 43 4F 4D 50 55 54 45 26 64 28 |})@s@rCOMPUTE&d(|
00000300: 34 2C 7B 7D 29 40 70 53 6F 6C 76 65 20 74 68 65 |4,{})@pSolve the|
00000310: 20 65 71 75 61 74 69 6F 6E 20 66 6F 72 20 22 26 | equation for "&|
00000320: 76 22 2E 20 55 73 65 20 70 61 70 65 72 20 61 6E |v". Use paper an|
00000330: 64 20 70 65 6E 63 69 6C 2C 20 6F 72 20 75 73 65 |d pencil, or use|
00000340: 20 74 68 65 20 43 61 6C 63 75 6C 61 74 6F 72 2E | the Calculator.|
00000350: 40 68 49 73 6F 6C 61 74 65 20 22 26 76 22 20 6F |@hIsolate "&v" o|
00000360: 6E 20 6F 6E 65 20 73 69 64 65 20 6F 66 20 74 68 |n one side of th|
00000370: 65 20 65 71 75 61 74 69 6F 6E 2E 40 68 54 68 65 |e equation.@hThe|
00000380: 20 43 61 6C 63 75 6C 61 74 6F 72 20 73 6F 6C 76 | Calculator solv|
00000390: 65 73 20 65 71 75 61 74 69 6F 6E 73 20 66 6F 72 |es equations for|
000003A0: 20 79 6F 75 20 61 6E 64 20 64 69 73 70 6C 61 79 | you and display|
000003B0: 73 20 74 68 65 20 73 74 65 70 73 20 69 6E 20 74 |s the steps in t|
000003C0: 68 65 20 73 6F 6C 75 74 69 6F 6E 2E 40 69 28 34 |he solution.@i(4|
000003D0: 2C 69 2C 26 76 3D 7B 7D 29 40 72 43 48 45 43 4B |,i,&v={})@rCHECK|
000003E0: 26 64 28 30 2C 54 6F 20 63 68 65 63 6B 20 79 6F |&d(0,To check yo|
000003F0: 75 72 20 77 6F 72 6B 20 74 68 65 20 76 61 6C 75 |ur work the valu|
00000400: 65 20 6F 66 20 22 26 76 22 20 69 73 20 73 75 62 |e of "&v" is sub|
00000410: 73 74 69 74 75 74 65 64 20 69 6E 20 74 68 65 20 |stituted in the |
00000420: 65 71 75 61 74 69 6F 6E 2E 29 26 64 28 36 2C 7B |equation.)&d(6,{|
00000430: 7D 29 40 70 53 69 6D 70 6C 69 66 79 20 74 68 65 |})@pSimplify the|
00000440: 20 65 71 75 61 74 69 6F 6E 20 77 69 74 68 20 74 | equation with t|
00000450: 68 65 20 63 61 6C 63 75 6C 61 74 6F 72 20 74 6F |he calculator to|
00000460: 20 6D 61 6B 65 20 73 75 72 65 20 74 68 61 74 20 | make sure that |
00000470: 74 68 65 20 74 77 6F 20 73 69 64 65 73 20 61 72 |the two sides ar|
00000480: 65 20 65 71 75 61 6C 2E 40 68 54 68 65 20 73 69 |e equal.@hThe si|
00000490: 6D 70 6C 69 66 69 65 64 20 65 71 75 61 74 69 6F |mplified equatio|
000004A0: 6E 20 69 73 20 7B 7D 2E 40 68 54 68 65 20 73 69 |n is {}.@hThe si|
000004B0: 6D 70 6C 69 66 69 65 64 20 65 71 75 61 74 69 6F |mplified equatio|
000004C0: 6E 20 69 73 20 60 7B 7D 27 2E 40 69 28 36 2C 69 |n is `{}'.@i(6,i|
000004D0: 2C 7B 7D 29 40 73 40 66 49 66 20 31 36 20 69 73 |,{})@s@fIf 16 is|
000004E0: 20 61 64 64 65 64 20 74 6F 20 35 20 74 69 6D 65 | added to 5 time|
000004F0: 73 20 73 6F 6D 65 20 6E 75 6D 62 65 72 2C 20 74 |s some number, t|
00000500: 68 65 20 72 65 73 75 6C 74 20 69 73 20 37 36 2E |he result is 76.|
00000510: 20 57 68 61 74 20 69 73 20 74 68 65 20 6E 75 6D | What is the num|
00000520: 62 65 72 3F 00 26 68 73 6F 6D 65 20 6E 75 6D 62 |ber?.&hsome numb|
00000530: 65 72 26 68 00 49 66 20 31 36 20 69 73 20 61 64 |er&h.If 16 is ad|
00000540: 64 65 64 20 74 6F 20 35 20 74 69 6D 65 73 20 73 |ded to 5 times s|
00000550: 6F 6D 65 20 6E 75 6D 62 65 72 00 31 36 20 69 73 |ome number.16 is|
00000560: 20 61 64 64 65 64 20 74 6F 20 35 20 74 69 6D 65 | added to 5 time|
00000570: 73 20 73 6F 6D 65 20 6E 75 6D 62 65 72 00 22 35 |s some number."5|
00000580: 20 74 69 6D 65 73 20 73 6F 6D 65 20 6E 75 6D 62 | times some numb|
00000590: 65 72 22 2C 20 74 68 65 6E 20 61 64 64 20 31 36 |er", then add 16|
000005A0: 00 35 26 76 20 2B 20 31 36 00 35 26 76 2B 31 36 |.5&v + 16.5&v+16|
000005B0: 00 54 68 65 20 72 65 73 75 6C 74 20 69 73 20 37 |.The result is 7|
000005C0: 36 00 54 68 65 20 72 65 73 75 6C 74 20 69 73 20 |6.The result is |
000005D0: 37 36 00 74 68 65 20 72 65 73 75 6C 74 20 69 73 |76.the result is|
000005E0: 20 37 36 00 3D 20 37 36 00 35 26 76 2B 31 36 3D | 76.= 76.5&v+16=|
000005F0: 37 36 00 35 26 76 2B 31 36 3D 37 36 00 31 32 00 |76.5&v+16=76.12.|
00000600: 28 35 2A 31 32 29 2B 31 36 3D 37 36 00 60 37 36 |(5*12)+16=76.`76|
00000610: 3D 37 36 27 00 37 36 3D 37 36 00 37 36 3D 37 36 |=76'.76=76.76=76|
00000620: 00 40 66 49 66 20 37 20 74 69 6D 65 73 20 73 6F |.@fIf 7 times so|
00000630: 6D 65 20 6E 75 6D 62 65 72 20 69 73 20 69 6E 63 |me number is inc|
00000640: 72 65 61 73 65 64 20 62 79 20 35 36 2C 20 74 68 |reased by 56, th|
00000650: 65 20 72 65 73 75 6C 74 20 69 73 20 74 68 65 20 |e result is the |
00000660: 73 61 6D 65 20 61 73 20 77 68 65 6E 20 32 30 30 |same as when 200|
00000670: 20 69 73 20 64 65 63 72 65 61 73 65 64 20 62 79 | is decreased by|
00000680: 20 74 68 61 74 20 6E 75 6D 62 65 72 2E 20 57 68 | that number. Wh|
00000690: 61 74 20 69 73 20 74 68 65 20 6E 75 6D 62 65 72 |at is the number|
000006A0: 3F 00 74 68 65 20 6E 75 6D 62 65 72 20 64 65 73 |?.the number des|
000006B0: 63 72 69 62 65 64 20 69 6E 20 74 68 65 20 70 72 |cribed in the pr|
000006C0: 6F 62 6C 65 6D 00 49 66 20 37 20 74 69 6D 65 73 |oblem.If 7 times|
000006D0: 20 73 6F 6D 65 20 6E 75 6D 62 65 72 20 69 73 20 | some number is |
000006E0: 69 6E 63 72 65 61 73 65 64 20 62 79 20 35 36 00 |increased by 56.|
000006F0: 37 20 74 69 6D 65 73 20 73 6F 6D 65 20 6E 75 6D |7 times some num|
00000700: 62 65 72 20 69 73 20 69 6E 63 72 65 61 73 65 64 |ber is increased|
00000710: 20 62 79 20 35 36 00 60 37 26 76 27 20 74 6F 20 | by 56.`7&v' to |
00000720: 72 65 70 72 65 73 65 6E 74 20 22 37 20 74 69 6D |represent "7 tim|
00000730: 65 73 20 73 6F 6D 65 20 6E 75 6D 62 65 72 22 2C |es some number",|
00000740: 20 74 68 65 6E 20 61 64 64 20 35 36 20 74 6F 20 | then add 56 to |
00000750: 72 65 70 72 65 73 65 6E 74 20 22 69 73 20 69 6E |represent "is in|
00000760: 63 72 65 61 73 65 64 20 62 79 20 35 36 22 00 37 |creased by 56".7|
00000770: 26 76 2B 35 36 00 37 26 76 2B 35 36 00 54 68 65 |&v+56.7&v+56.The|
00000780: 20 72 65 73 75 6C 74 20 69 73 20 74 68 65 20 73 | result is the s|
00000790: 61 6D 65 20 61 73 20 77 68 65 6E 20 32 30 30 20 |ame as when 200 |
000007A0: 69 73 20 64 65 63 72 65 61 73 65 64 20 62 79 20 |is decreased by |
000007B0: 74 68 61 74 20 6E 75 6D 62 65 72 2E 00 54 68 65 |that number..The|
000007C0: 20 72 65 73 75 6C 74 20 69 73 20 74 68 65 20 73 | result is the s|
000007D0: 61 6D 65 20 61 73 20 77 68 65 6E 20 32 30 30 20 |ame as when 200 |
000007E0: 69 73 20 64 65 63 72 65 61 73 65 64 20 62 79 20 |is decreased by |
000007F0: 74 68 61 74 20 6E 75 6D 62 65 72 00 22 74 68 65 |that number."the|
00000800: 20 72 65 73 75 6C 74 20 69 73 20 74 68 65 20 73 | result is the s|
00000810: 61 6D 65 20 61 73 20 77 68 65 6E 20 32 30 30 20 |ame as when 200 |
00000820: 69 73 20 64 65 63 72 65 61 73 65 64 20 62 79 20 |is decreased by |
00000830: 74 68 61 74 20 6E 75 6D 62 65 72 22 00 3D 32 30 |that number".=20|
00000840: 30 2D 26 76 00 37 26 76 2B 35 36 3D 32 30 30 2D |0-&v.7&v+56=200-|
00000850: 26 76 00 37 26 76 2B 35 36 3D 32 30 30 2D 26 76 |&v.7&v+56=200-&v|
00000860: 00 31 38 00 28 37 2A 31 38 29 2B 35 36 3D 32 30 |.18.(7*18)+56=20|
00000870: 30 2D 31 38 00 31 38 32 3D 31 38 32 00 31 38 32 |0-18.182=182.182|
00000880: 20 3D 20 31 38 32 00 31 38 32 3D 31 38 32 00 40 | = 182.182=182.@|
00000890: 66 49 66 20 61 20 63 65 72 74 61 69 6E 20 6E 75 |fIf a certain nu|
000008A0: 6D 62 65 72 20 69 73 20 73 75 62 74 72 61 63 74 |mber is subtract|
000008B0: 65 64 20 66 72 6F 6D 20 32 31 33 2C 20 74 68 65 |ed from 213, the|
000008C0: 20 72 65 73 75 6C 74 20 69 73 20 65 71 75 61 6C | result is equal|
000008D0: 20 74 6F 20 74 77 69 63 65 20 74 68 65 20 6E 75 | to twice the nu|
000008E0: 6D 62 65 72 2E 20 57 68 61 74 20 69 73 20 74 68 |mber. What is th|
000008F0: 65 20 6E 75 6D 62 65 72 3F 00 61 6E 20 75 6E 6B |e number?.an unk|
00000900: 6E 6F 77 6E 20 6E 75 6D 62 65 72 00 49 66 20 61 |nown number.If a|
00000910: 20 63 65 72 74 61 69 6E 20 6E 75 6D 62 65 72 20 | certain number |
00000920: 69 73 20 73 75 62 74 72 61 63 74 65 64 20 66 72 |is subtracted fr|
00000930: 6F 6D 20 32 31 33 00 61 20 63 65 72 74 61 69 6E |om 213.a certain|
00000940: 20 6E 75 6D 62 65 72 20 69 73 20 73 75 62 74 72 | number is subtr|
00000950: 61 63 74 65 64 20 66 72 6F 6D 20 32 31 33 00 32 |acted from 213.2|
00000960: 31 33 20 61 6E 64 20 73 75 62 74 72 61 63 74 20 |13 and subtract |
00000970: 74 68 65 20 75 6E 6B 6E 6F 77 6E 20 6E 75 6D 62 |the unknown numb|
00000980: 65 72 00 32 31 33 2D 26 76 00 32 31 33 2D 26 76 |er.213-&v.213-&v|
00000990: 00 74 68 65 20 72 65 73 75 6C 74 20 69 73 20 65 |.the result is e|
000009A0: 71 75 61 6C 20 74 6F 20 74 77 69 63 65 20 74 68 |qual to twice th|
000009B0: 65 20 6E 75 6D 62 65 72 00 54 68 65 20 72 65 73 |e number.The res|
000009C0: 75 6C 74 20 69 73 20 65 71 75 61 6C 20 74 6F 20 |ult is equal to |
000009D0: 74 77 69 63 65 20 74 68 65 20 6E 75 6D 62 65 72 |twice the number|
000009E0: 00 54 68 65 20 72 65 73 75 6C 74 20 69 73 20 65 |.The result is e|
000009F0: 71 75 61 6C 20 74 6F 20 74 77 69 63 65 20 74 68 |qual to twice th|
00000A00: 65 20 6E 75 6D 62 65 72 00 3D 20 32 26 76 00 32 |e number.= 2&v.2|
00000A10: 31 33 2D 26 76 3D 32 26 76 00 32 31 33 2D 26 76 |13-&v=2&v.213-&v|
00000A20: 3D 32 26 76 00 37 31 00 32 31 33 2D 37 31 3D 32 |=2&v.71.213-71=2|
00000A30: 2A 37 31 00 31 34 32 3D 31 34 32 00 31 34 32 3D |*71.142=142.142=|
00000A40: 31 34 32 00 31 34 32 3D 31 34 32 00 40 66 49 66 |142.142=142.@fIf|
00000A50: 20 31 38 20 69 73 20 73 75 62 74 72 61 63 74 65 | 18 is subtracte|
00000A60: 64 20 66 72 6F 6D 20 61 6E 20 75 6E 6B 6E 6F 77 |d from an unknow|
00000A70: 6E 20 6E 75 6D 62 65 72 2C 20 74 68 65 20 72 65 |n number, the re|
00000A80: 73 75 6C 74 20 69 73 20 2D 31 34 2E 20 57 68 61 |sult is -14. Wha|
00000A90: 74 20 69 73 20 74 68 65 20 6E 75 6D 62 65 72 3F |t is the number?|
00000AA0: 00 74 68 65 20 6E 75 6D 62 65 72 00 49 66 20 31 |.the number.If 1|
00000AB0: 38 20 69 73 20 73 75 62 74 72 61 63 74 65 64 20 |8 is subtracted |
00000AC0: 66 72 6F 6D 20 61 6E 20 75 6E 6B 6E 6F 77 6E 20 |from an unknown |
00000AD0: 6E 75 6D 62 65 72 00 49 66 20 31 38 20 69 73 20 |number.If 18 is |
00000AE0: 73 75 62 74 72 61 63 74 65 64 20 66 72 6F 6D 20 |subtracted from |
00000AF0: 61 6E 20 75 6E 6B 6E 6F 77 6E 20 6E 75 6D 62 65 |an unknown numbe|
00000B00: 72 00 74 68 65 20 75 6E 6B 6E 6F 77 6E 20 6E 75 |r.the unknown nu|
00000B10: 6D 62 65 72 20 74 68 65 6E 20 73 75 62 74 72 61 |mber then subtra|
00000B20: 63 74 20 31 38 00 26 76 2D 31 38 00 26 76 2D 31 |ct 18.&v-18.&v-1|
00000B30: 38 00 74 68 65 20 72 65 73 75 6C 74 20 69 73 20 |8.the result is |
00000B40: 2D 31 34 00 74 68 65 20 72 65 73 75 6C 74 20 69 |-14.the result i|
00000B50: 73 20 2D 31 34 00 74 68 65 20 72 65 73 75 6C 74 |s -14.the result|
00000B60: 20 69 73 20 2D 31 34 00 3D 20 2D 31 34 00 26 76 | is -14.= -14.&v|
00000B70: 2D 31 38 20 3D 20 2D 31 34 00 26 76 2D 31 38 3D |-18 = -14.&v-18=|
00000B80: 2D 31 34 00 34 00 34 2D 31 38 20 3D 20 2D 31 34 |-14.4.4-18 = -14|
00000B90: 00 2D 31 34 3D 2D 31 34 00 2D 31 34 3D 20 2D 31 |.-14=-14.-14= -1|
00000BA0: 34 00 2D 31 34 3D 20 2D 31 34 00 40 66 49 66 20 |4.-14= -14.@fIf |
00000BB0: 35 20 74 69 6D 65 73 20 73 6F 6D 65 20 6E 75 6D |5 times some num|
00000BC0: 62 65 72 20 69 73 20 69 6E 63 72 65 61 73 65 64 |ber is increased|
00000BD0: 20 62 79 20 31 31 2C 20 74 68 65 20 72 65 73 75 | by 11, the resu|
00000BE0: 6C 74 20 69 73 20 65 71 75 61 6C 20 74 6F 20 31 |lt is equal to 1|
00000BF0: 32 20 6C 65 73 73 20 74 68 61 6E 20 36 20 74 69 |2 less than 6 ti|
00000C00: 6D 65 73 20 74 68 65 20 6E 75 6D 62 65 72 2E 00 |mes the number..|
00000C10: 74 68 65 20 6E 75 6D 62 65 72 00 49 66 20 35 20 |the number.If 5 |
00000C20: 74 69 6D 65 73 20 73 6F 6D 65 20 6E 75 6D 62 65 |times some numbe|
00000C30: 72 20 69 73 20 69 6E 63 72 65 61 73 65 64 20 62 |r is increased b|
00000C40: 79 20 31 31 00 49 66 20 35 20 74 69 6D 65 73 20 |y 11.If 5 times |
00000C50: 73 6F 6D 65 20 6E 75 6D 62 65 72 20 69 73 20 69 |some number is i|
00000C60: 6E 63 72 65 61 73 65 64 20 62 79 20 31 31 00 35 |ncreased by 11.5|
00000C70: 20 74 69 6D 65 73 20 73 6F 6D 65 20 6E 75 6D 62 | times some numb|
00000C80: 65 72 20 61 6E 64 20 69 6E 63 72 65 61 73 65 20 |er and increase |
00000C90: 69 74 20 62 79 20 31 31 00 35 26 76 2B 31 31 00 |it by 11.5&v+11.|
00000CA0: 35 26 76 2B 31 31 00 74 68 65 20 72 65 73 75 6C |5&v+11.the resul|
00000CB0: 74 20 69 73 20 65 71 75 61 6C 20 74 6F 20 31 32 |t is equal to 12|
00000CC0: 20 6C 65 73 73 20 74 68 61 6E 20 36 20 74 69 6D | less than 6 tim|
00000CD0: 65 73 20 74 68 65 20 6E 75 6D 62 65 72 00 74 68 |es the number.th|
00000CE0: 65 20 72 65 73 75 6C 74 20 69 73 20 65 71 75 61 |e result is equa|
00000CF0: 6C 20 74 6F 20 31 32 20 6C 65 73 73 20 74 68 61 |l to 12 less tha|
00000D00: 6E 20 36 20 74 69 6D 65 73 20 74 68 65 20 6E 75 |n 6 times the nu|
00000D10: 6D 62 65 72 00 74 68 65 20 72 65 73 75 6C 74 20 |mber.the result |
00000D20: 69 73 20 65 71 75 61 6C 20 74 6F 20 31 32 20 6C |is equal to 12 l|
00000D30: 65 73 73 20 74 68 61 6E 20 36 20 74 69 6D 65 73 |ess than 6 times|
00000D40: 20 74 68 65 20 6E 75 6D 62 65 72 00 3D 36 26 76 | the number.=6&v|
00000D50: 2D 31 32 00 35 26 76 2B 31 31 3D 36 26 76 2D 31 |-12.5&v+11=6&v-1|
00000D60: 32 00 35 26 76 2B 31 31 3D 36 26 76 2D 31 32 00 |2.5&v+11=6&v-12.|
00000D70: 32 33 00 35 28 32 33 29 2B 31 31 3D 36 28 32 33 |23.5(23)+11=6(23|
00000D80: 29 2D 31 32 00 31 32 36 3D 31 32 36 00 31 32 36 |)-12.126=126.126|
00000D90: 3D 31 32 36 00 31 32 36 3D 31 32 36 00 40 66 49 |=126.126=126.@fI|
00000DA0: 66 20 33 36 30 20 69 73 20 64 65 63 72 65 61 73 |f 360 is decreas|
00000DB0: 65 64 20 62 79 20 61 6E 20 75 6E 6B 6E 6F 77 6E |ed by an unknown|
00000DC0: 20 6E 75 6D 62 65 72 2C 20 74 68 65 20 72 65 73 | number, the res|
00000DD0: 75 6C 74 20 69 73 20 65 71 75 61 6C 20 74 6F 20 |ult is equal to |
00000DE0: 31 32 20 6C 65 73 73 20 74 68 61 6E 20 74 77 69 |12 less than twi|
00000DF0: 63 65 20 74 68 65 20 6E 75 6D 62 65 72 2E 20 57 |ce the number. W|
00000E00: 68 61 74 20 69 73 20 74 68 65 20 6E 75 6D 62 65 |hat is the numbe|
00000E10: 72 3F 00 74 68 65 20 75 6E 6B 6E 6F 77 6E 20 6E |r?.the unknown n|
00000E20: 75 6D 62 65 72 00 49 66 20 33 36 30 20 69 73 20 |umber.If 360 is |
00000E30: 64 65 63 72 65 61 73 65 64 20 62 79 20 61 6E 20 |decreased by an |
00000E40: 75 6E 6B 6E 6F 77 6E 20 6E 75 6D 62 65 72 2C 00 |unknown number,.|
00000E50: 33 36 30 20 64 65 63 72 65 61 73 65 64 20 62 79 |360 decreased by|
00000E60: 20 61 6E 20 75 6E 6B 6E 6F 77 6E 20 6E 75 6D 62 | an unknown numb|
00000E70: 65 72 00 33 36 30 20 61 6E 64 20 73 75 62 74 72 |er.360 and subtr|
00000E80: 61 63 74 20 22 26 76 22 00 33 36 30 2D 26 76 00 |act "&v".360-&v.|
00000E90: 33 36 30 2D 26 76 00 54 68 65 20 72 65 73 75 6C |360-&v.The resul|
00000EA0: 74 20 69 73 20 65 71 75 61 6C 20 74 6F 20 31 32 |t is equal to 12|
00000EB0: 20 6C 65 73 73 20 74 68 61 6E 20 74 77 69 63 65 | less than twice|
00000EC0: 20 74 68 65 20 6E 75 6D 62 65 72 00 54 68 65 20 | the number.The |
00000ED0: 72 65 73 75 6C 74 20 69 73 20 65 71 75 61 6C 20 |result is equal |
00000EE0: 74 6F 20 31 32 20 6C 65 73 73 20 74 68 61 6E 20 |to 12 less than |
00000EF0: 74 77 69 63 65 20 74 68 65 20 6E 75 6D 62 65 72 |twice the number|
00000F00: 00 74 68 65 20 72 65 73 75 6C 74 20 69 73 20 65 |.the result is e|
00000F10: 71 75 61 6C 20 74 6F 20 31 32 20 6C 65 73 73 20 |qual to 12 less |
00000F20: 74 68 61 6E 20 74 77 69 63 65 20 74 68 65 20 6E |than twice the n|
00000F30: 75 6D 62 65 72 00 3D 32 26 76 2D 31 32 00 33 36 |umber.=2&v-12.36|
00000F40: 30 2D 26 76 3D 32 26 76 2D 31 32 00 33 36 30 2D |0-&v=2&v-12.360-|
00000F50: 26 76 3D 32 26 76 2D 31 32 00 31 32 34 00 33 36 |&v=2&v-12.124.36|
00000F60: 30 2D 31 32 34 3D 32 28 31 32 34 29 2D 31 32 00 |0-124=2(124)-12.|
00000F70: 32 33 36 3D 32 33 36 00 32 33 36 3D 32 33 36 00 |236=236.236=236.|
00000F80: 32 33 36 3D 32 33 36 00 40 66 49 66 20 33 20 74 |236=236.@fIf 3 t|
00000F90: 69 6D 65 73 20 73 6F 6D 65 20 6E 75 6D 62 65 72 |imes some number|
00000FA0: 20 69 73 20 69 6E 63 72 65 61 73 65 64 20 62 79 | is increased by|
00000FB0: 20 35 20 74 69 6D 65 73 20 74 68 65 20 6E 75 6D | 5 times the num|
00000FC0: 62 65 72 2C 20 74 68 65 20 72 65 73 75 6C 74 20 |ber, the result |
00000FD0: 69 73 20 65 71 75 61 6C 20 74 6F 20 31 32 36 20 |is equal to 126 |
00000FE0: 64 65 63 72 65 61 73 65 64 20 62 79 20 74 68 65 |decreased by the|
00000FF0: 20 6E 75 6D 62 65 72 2E 00 73 6F 6D 65 20 6E 75 | number..some nu|
00001000: 6D 62 65 72 00 49 66 20 33 20 74 69 6D 65 73 20 |mber.If 3 times |
00001010: 73 6F 6D 65 20 6E 75 6D 62 65 72 20 69 73 20 69 |some number is i|
00001020: 6E 63 72 65 61 73 65 64 20 62 79 20 35 20 74 69 |ncreased by 5 ti|
00001030: 6D 65 73 20 74 68 65 20 6E 75 6D 62 65 72 00 49 |mes the number.I|
00001040: 66 20 33 20 74 69 6D 65 73 20 73 6F 6D 65 20 6E |f 3 times some n|
00001050: 75 6D 62 65 72 20 69 73 20 69 6E 63 72 65 61 73 |umber is increas|
00001060: 65 64 20 62 79 20 35 20 74 69 6D 65 73 20 74 68 |ed by 5 times th|
00001070: 65 20 6E 75 6D 62 65 72 00 33 20 74 69 6D 65 73 |e number.3 times|
00001080: 20 61 20 6E 75 6D 62 65 72 20 61 6E 64 20 61 64 | a number and ad|
00001090: 64 20 35 20 74 69 6D 65 73 20 74 68 61 74 20 6E |d 5 times that n|
000010A0: 75 6D 62 65 72 00 33 26 76 2B 35 26 76 00 33 26 |umber.3&v+5&v.3&|
000010B0: 76 2B 35 26 76 00 74 68 65 20 72 65 73 75 6C 74 |v+5&v.the result|
000010C0: 20 69 73 20 65 71 75 61 6C 20 74 6F 20 31 32 36 | is equal to 126|
000010D0: 20 64 65 63 72 65 61 73 65 64 20 62 79 20 74 68 | decreased by th|
000010E0: 65 20 6E 75 6D 62 65 72 00 74 68 65 20 72 65 73 |e number.the res|
000010F0: 75 6C 74 20 69 73 20 65 71 75 61 6C 20 74 6F 20 |ult is equal to |
00001100: 31 32 36 20 64 65 63 72 65 61 73 65 64 20 62 79 |126 decreased by|
00001110: 20 74 68 65 20 6E 75 6D 62 65 72 00 00 3D 31 32 | the number..=12|
00001120: 36 2D 26 76 00 33 26 76 2B 35 26 76 3D 31 32 36 |6-&v.3&v+5&v=126|
00001130: 2D 26 76 00 33 26 76 2B 35 26 76 3D 31 32 36 2D |-&v.3&v+5&v=126-|
00001140: 26 76 00 31 34 00 33 28 31 34 29 2B 35 28 31 34 |&v.14.3(14)+5(14|
00001150: 29 3D 31 32 36 2D 31 34 00 31 31 32 3D 31 31 32 |)=126-14.112=112|
00001160: 00 31 31 32 3D 31 31 32 00 31 31 32 3D 31 31 32 |.112=112.112=112|
00001170: 00 40 66 49 66 20 31 31 20 6D 6F 72 65 20 74 68 |.@fIf 11 more th|
00001180: 61 6E 20 73 6F 6D 65 20 6E 75 6D 62 65 72 20 69 |an some number i|
00001190: 73 20 6D 75 6C 74 69 70 6C 69 65 64 20 62 79 20 |s multiplied by |
000011A0: 34 2C 20 74 68 65 20 72 65 73 75 6C 74 20 69 73 |4, the result is|
000011B0: 20 65 71 75 61 6C 20 74 6F 20 39 38 20 64 65 63 | equal to 98 dec|
000011C0: 72 65 61 73 65 64 20 62 79 20 74 77 69 63 65 20 |reased by twice |
000011D0: 74 68 65 20 6E 75 6D 62 65 72 2E 20 57 68 61 74 |the number. What|
000011E0: 20 69 73 20 74 68 65 20 6E 75 6D 62 65 72 3F 00 | is the number?.|
000011F0: 74 68 65 20 6E 75 6D 62 65 72 00 49 66 20 31 31 |the number.If 11|
00001200: 20 6D 6F 72 65 20 74 68 61 6E 20 73 6F 6D 65 20 | more than some |
00001210: 6E 75 6D 62 65 72 20 69 73 20 6D 75 6C 74 69 70 |number is multip|
00001220: 6C 69 65 64 20 62 79 20 34 00 49 66 20 31 31 20 |lied by 4.If 11 |
00001230: 6D 6F 72 65 20 74 68 61 6E 20 73 6F 6D 65 20 6E |more than some n|
00001240: 75 6D 62 65 72 20 69 73 20 6D 75 6C 74 69 70 6C |umber is multipl|
00001250: 69 65 64 20 62 79 20 34 00 22 26 76 2B 31 31 22 |ied by 4."&v+11"|
00001260: 20 61 6E 64 20 6D 75 6C 74 69 70 6C 79 20 74 68 | and multiply th|
00001270: 65 20 71 75 61 6E 74 69 74 79 20 62 79 20 22 34 |e quantity by "4|
00001280: 22 00 34 28 26 76 2B 31 31 29 00 34 28 26 76 2B |".4(&v+11).4(&v+|
00001290: 31 31 29 00 74 68 65 20 72 65 73 75 6C 74 20 69 |11).the result i|
000012A0: 73 20 65 71 75 61 6C 20 74 6F 20 39 38 20 64 65 |s equal to 98 de|
000012B0: 63 72 65 61 73 65 64 20 62 79 20 74 77 69 63 65 |creased by twice|
000012C0: 20 74 68 65 20 6E 75 6D 62 65 72 00 54 68 65 20 | the number.The |
000012D0: 72 65 73 75 6C 74 20 69 73 20 65 71 75 61 6C 20 |result is equal |
000012E0: 74 6F 20 39 38 20 64 65 63 72 65 61 73 65 64 20 |to 98 decreased |
000012F0: 62 79 20 74 77 69 63 65 20 74 68 65 20 6E 75 6D |by twice the num|
00001300: 62 65 72 00 74 68 65 20 72 65 73 75 6C 74 20 69 |ber.the result i|
00001310: 73 20 65 71 75 61 6C 20 74 6F 20 39 38 20 64 65 |s equal to 98 de|
00001320: 63 72 65 61 73 65 64 20 62 79 20 74 77 69 63 65 |creased by twice|
00001330: 20 74 68 65 20 6E 75 6D 62 65 72 00 3D 20 39 38 | the number.= 98|
00001340: 2D 32 26 76 00 34 28 26 76 2B 31 31 29 3D 39 38 |-2&v.4(&v+11)=98|
00001350: 2D 32 26 76 00 34 28 26 76 2B 31 31 29 20 3D 20 |-2&v.4(&v+11) = |
00001360: 39 38 2D 32 26 76 00 39 00 34 28 39 2B 31 31 29 |98-2&v.9.4(9+11)|
00001370: 3D 39 38 2D 32 28 39 29 00 38 30 3D 38 30 00 38 |=98-2(9).80=80.8|
00001380: 30 3D 38 30 00 38 30 3D 38 30 00 7C 30 |0=80.80=80.|0 |
A @Q{}@DG06&D(2,EQUATION)&D(5,CHECK)@R
READ@PREAD THE PROBLEM SLOWLY AND CAREFU
LLY. WHAT IS BEING ASKED?\N (PRESS ANY
KEY TO CONTINUE).@HWHAT IS BEING ASKED?
YOU ARE BEING ASKED TO FIND THE UNKNOWN
NUMBER.@HTHE PROBLEM IS TO FIND {}.&QWHA
T IS THE NUMBER?&Q@I(0)@RPLAN@PCHOOSE A
VARIABLE TO REPRESENT THE UNKNOWN NUMBER
.@HUSE ANY LETTER AS A VARIABLE TO REPRE
SENT THE UNKNOWN NUMBER.@HCHOOSE ANY LET
TER, SUCH AS `N' TO REPRESENT THE UNKNOW
N NUMBER.@I(1,I,&V)&D(1,THE UNKNOWN NUMB
ER IS: &V)@PTRANSLATE THE FIRST PHRASE I
NTO A MATHEMATICAL EXPRESSION.&Q{}&Q@H"{
}" IS THE PHRASE TO BE TRANSLATED.@HSTAR
T WITH {}. ENTER `{}'.@I(3,I,{})@PTRANSL
ATE THE REST OF THE PROBLEM.&Q{}&Q@H"{}"
IS THE PHRASE TO BE TRANSLATED.@HTO TRA
NSLATE {}, ENTER `{}'.@I(3,J,{})@S@RCO
MPUTE&D(4,{})@PSOLVE THE EQUATION FOR "&
V". USE PAPER AND PENCIL, OR USE THE CAL
CULATOR.@HISOLATE "&V" ON ONE SIDE OF TH
E EQUATION.@HTHE CALCULATOR SOLVES EQUAT
IONS FOR YOU AND DISPLAYS THE STEPS IN T
HE SOLUTION.@I(4,I,&V={})@RCHECK&D(0,TO
CHECK YOUR WORK THE VALUE OF "&V" IS SUB
STITUTED IN THE EQUATION.)&D(6,{})@PSIMP
LIFY THE EQUATION WITH THE CALCULATOR TO
MAKE SURE THAT THE TWO SIDES ARE EQUAL.
@HTHE SIMPLIFIED EQUATION IS {}.@HTHE SI
MPLIFIED EQUATION IS `{}'.@I(6,I,{})@S@F
IF 16 IS ADDED TO 5 TIMES SOME NUMBER, T
HE RESULT IS 76. WHAT IS THE NUMBER?.&HS
OME NUMBER&H.IF 16 IS ADDED TO 5 TIMES S
OME NUMBER.16 IS ADDED TO 5 TIMES SOME N
UMBER."5 TIMES SOME NUMBER", THEN ADD 16
.5&V + 16.5&V+16.THE RESULT IS 76.THE RE
SULT IS 76.THE RESULT IS 76.= 76.5&V+16=
76.5&V+16=76.12.(5*12)+16=76.`76=76'.76=
76.76=76.@FIF 7 TIMES SOME NUMBER IS INC
REASED BY 56, THE RESULT IS THE SAME AS
WHEN 200 IS DECREASED BY THAT NUMBER. WH
AT IS THE NUMBER?.THE NUMBER DESCRIBED I
N THE PROBLEM.IF 7 TIMES SOME NUMBER IS
INCREASED BY 56.7 TIMES SOME NUMBER IS I
NCREASED BY 56.`7&V' TO REPRESENT "7 TIM
ES SOME NUMBER", THEN ADD 56 TO REPRESEN
T "IS INCREASED BY 56".7&V+56.7&V+56.THE
RESULT IS THE SAME AS WHEN 200 IS DECRE
ASED BY THAT NUMBER..THE RESULT IS THE S
AME AS WHEN 200 IS DECREASED BY THAT NUM
BER."THE RESULT IS THE SAME AS WHEN 200
IS DECREASED BY THAT NUMBER".=200-&V.7&V
+56=200-&V.7&V+56=200-&V.18.(7*18)+56=20
0-18.182=182.182 = 182.182=182.@FIF A CE
RTAIN NUMBER IS SUBTRACTED FROM 213, THE
RESULT IS EQUAL TO TWICE THE NUMBER. WH
AT IS THE NUMBER?.AN UNKNOWN NUMBER.IF A
CERTAIN NUMBER IS SUBTRACTED FROM 213.A
CERTAIN NUMBER IS SUBTRACTED FROM 213.2
13 AND SUBTRACT THE UNKNOWN NUMBER.213-&
V.213-&V.THE RESULT IS EQUAL TO TWICE TH
E NUMBER.THE RESULT IS EQUAL TO TWICE TH
E NUMBER.THE RESULT IS EQUAL TO TWICE TH
E NUMBER.= 2&V.213-&V=2&V.213-&V=2&V.71.
213-71=2*71.142=142.142=142.142=142.@FIF
18 IS SUBTRACTED FROM AN UNKNOWN NUMBER
, THE RESULT IS -14. WHAT IS THE NUMBER?
.THE NUMBER.IF 18 IS SUBTRACTED FROM AN
UNKNOWN NUMBER.IF 18 IS SUBTRACTED FROM
AN UNKNOWN NUMBER.THE UNKNOWN NUMBER THE
N SUBTRACT 18.&V-18.&V-18.THE RESULT IS
-14.THE RESULT IS -14.THE RESULT IS -14.
= -14.&V-18 = -14.&V-18=-14.4.4-18 = -14
.-14=-14.-14= -14.-14= -14.@FIF 5 TIMES
SOME NUMBER IS INCREASED BY 11, THE RESU
LT IS EQUAL TO 12 LESS THAN 6 TIMES THE
NUMBER..THE NUMBER.IF 5 TIMES SOME NUMBE
R IS INCREASED BY 11.IF 5 TIMES SOME NUM
BER IS INCREASED BY 11.5 TIMES SOME NUMB
ER AND INCREASE IT BY 11.5&V+11.5&V+11.T
HE RESULT IS EQUAL TO 12 LESS THAN 6 TIM
ES THE NUMBER.THE RESULT IS EQUAL TO 12
LESS THAN 6 TIMES THE NUMBER.THE RESULT
IS EQUAL TO 12 LESS THAN 6 TIMES THE NUM
BER.=6&V-12.5&V+11=6&V-12.5&V+11=6&V-12.
23.5(23)+11=6(23)-12.126=126.126=126.126
=126.@FIF 360 IS DECREASED BY AN UNKNOWN
NUMBER, THE RESULT IS EQUAL TO 12 LESS
THAN TWICE THE NUMBER. WHAT IS THE NUMBE
R?.THE UNKNOWN NUMBER.IF 360 IS DECREASE
D BY AN UNKNOWN NUMBER,.360 DECREASED BY
AN UNKNOWN NUMBER.360 AND SUBTRACT "&V"
.360-&V.360-&V.THE RESULT IS EQUAL TO 12
LESS THAN TWICE THE NUMBER.THE RESULT I
S EQUAL TO 12 LESS THAN TWICE THE NUMBER
.THE RESULT IS EQUAL TO 12 LESS THAN TWI
CE THE NUMBER.=2&V-12.360-&V=2&V-12.360-
&V=2&V-12.124.360-124=2(124)-12.236=236.
236=236.236=236.@FIF 3 TIMES SOME NUMBER
IS INCREASED BY 5 TIMES THE NUMBER, THE
RESULT IS EQUAL TO 126 DECREASED BY THE
NUMBER..SOME NUMBER.IF 3 TIMES SOME NUM
BER IS INCREASED BY 5 TIMES THE NUMBER.I
F 3 TIMES SOME NUMBER IS INCREASED BY 5
TIMES THE NUMBER.3 TIMES A NUMBER AND AD
D 5 TIMES THAT NUMBER.3&V+5&V.3&V+5&V.TH
E RESULT IS EQUAL TO 126 DECREASED BY TH
E NUMBER.THE RESULT IS EQUAL TO 126 DECR
EASED BY THE NUMBER..=126-&V.3&V+5&V=126
-&V.3&V+5&V=126-&V.14.3(14)+5(14)=126-14
.112=112.112=112.112=112.@FIF 11 MORE TH
AN SOME NUMBER IS MULTIPLIED BY 4, THE R
ESULT IS EQUAL TO 98 DECREASED BY TWICE
THE NUMBER. WHAT IS THE NUMBER?.THE NUMB
ER.IF 11 MORE THAN SOME NUMBER IS MULTIP
LIED BY 4.IF 11 MORE THAN SOME NUMBER IS
MULTIPLIED BY 4."&V+11" AND MULTIPLY TH
E QUANTITY BY "4".4(&V+11).4(&V+11).THE
RESULT IS EQUAL TO 98 DECREASED BY TWICE
THE NUMBER.THE RESULT IS EQUAL TO 98 DE
CREASED BY TWICE THE NUMBER.THE RESULT I
S EQUAL TO 98 DECREASED BY TWICE THE NUM
BER.= 98-2&V.4(&V+11)=98-2&V.4(&V+11) =
98-2&V.9.4(9+11)=98-2(9).80=80.80=80.80=
80.|0
> CLICK IMAGE PREVIEW FOR FULL MODAL