MIXT2L4
FILE INFORMATION
FILENAME(S): MIXT2L4
FILE TYPE(S): PRG
FILE SIZE: 4.6K
FIRST SEEN: 2025-10-19 22:48:55
APPEARS ON: 1 disk(s)
FILE HASH
bd95d67572719e4749b54554781bea78f31766d48f02ff6690176a41afa1063e
FOUND ON DISKS (1 DISKS)
| DISK TITLE | FILENAME | FILE TYPE | COLLECTION | TRACK | SECTOR | ACTIONS |
|---|---|---|---|---|---|---|
| HHM 100785 44S1 | MIXT2L4 | PRG | Radd Maxx | 30 | 3 | DOWNLOAD FILE |
FILE CONTENT & ANALYSIS
00000000: 20 41 40 71 7B 7D 3F 40 64 67 30 32 26 64 28 31 | A@q{}?@dg02&d(1|
00000010: 2C 57 65 61 6B 20 73 6F 6C 2E 29 26 64 28 32 2C |,Weak sol.)&d(2,|
00000020: 53 74 72 6E 67 20 73 6F 6C 2E 29 26 64 28 33 2C |Strng sol.)&d(3,|
00000030: 4D 69 78 29 26 64 28 34 2C 55 6E 69 74 20 73 74 |Mix)&d(4,Unit st|
00000040: 72 65 6E 29 26 64 28 38 2C 6F 7A 20 6F 66 20 73 |ren)&d(8,oz of s|
00000050: 6F 6C 29 26 64 28 31 32 2C 7B 7D 29 40 72 52 45 |ol)&d(12,{})@rRE|
00000060: 41 44 40 70 52 65 61 64 20 74 68 65 20 77 68 6F |AD@pRead the who|
00000070: 6C 65 20 70 72 6F 62 6C 65 6D 2E 20 54 68 69 6E |le problem. Thin|
00000080: 6B 3A 20 57 68 61 74 20 61 72 65 20 74 68 65 20 |k: What are the |
00000090: 66 61 63 74 73 3F 20 57 68 61 74 20 69 73 20 62 |facts? What is b|
000000A0: 65 69 6E 67 20 61 73 6B 65 64 3F 20 28 50 72 65 |eing asked? (Pre|
000000B0: 73 73 20 61 6E 79 20 6B 65 79 20 74 6F 20 63 6F |ss any key to co|
000000C0: 6E 74 69 6E 75 65 2E 29 40 68 57 68 61 74 20 61 |ntinue.)@hWhat a|
000000D0: 72 65 20 74 68 65 20 66 61 63 74 73 3F 20 7B 7D |re the facts? {}|
000000E0: 2E 40 68 57 68 61 74 20 69 73 20 62 65 69 6E 67 |.@hWhat is being|
000000F0: 20 61 73 6B 65 64 3F 20 26 68 7B 7D 26 68 3F 40 | asked? &h{}&h?@|
00000100: 69 28 30 29 40 72 44 41 54 41 20 45 4E 54 52 59 |i(0)@rDATA ENTRY|
00000110: 40 70 46 69 6C 6C 20 69 6E 20 74 68 65 20 67 72 |@pFill in the gr|
00000120: 69 64 20 2D 2D 20 73 74 61 72 74 20 77 69 74 68 |id -- start with|
00000130: 20 74 68 65 20 73 74 72 65 6E 67 74 68 73 20 70 | the strengths p|
00000140: 65 72 20 75 6E 69 74 2E 40 68 57 68 61 74 20 69 |er unit.@hWhat i|
00000150: 73 20 74 68 65 20 73 74 72 65 6E 67 74 68 20 70 |s the strength p|
00000160: 65 72 20 6F 75 6E 63 65 20 6F 66 20 74 68 65 20 |er ounce of the |
00000170: 57 65 61 6B 20 73 6F 6C 75 74 69 6F 6E 3F 40 68 |Weak solution?@h|
00000180: 54 68 65 20 73 74 72 65 6E 67 74 68 20 70 65 72 |The strength per|
00000190: 20 6F 75 6E 63 65 20 6F 66 20 74 68 65 20 57 65 | ounce of the We|
000001A0: 61 6B 20 73 6F 6C 75 74 69 6F 6E 20 69 73 20 60 |ak solution is `|
000001B0: 7B 7D 27 20 6F 75 6E 63 65 73 2E 40 69 28 35 2C |{}' ounces.@i(5,|
000001C0: 69 2C 7B 7D 29 40 68 57 68 61 74 20 69 73 20 74 |i,{})@hWhat is t|
000001D0: 68 65 20 73 74 72 65 6E 67 74 68 20 70 65 72 20 |he strength per |
000001E0: 6F 75 6E 63 65 20 6F 66 20 74 68 65 20 53 74 72 |ounce of the Str|
000001F0: 6F 6E 67 20 73 6F 6C 75 74 69 6F 6E 3F 40 68 54 |ong solution?@hT|
00000200: 68 65 20 73 74 72 65 6E 67 74 68 20 70 65 72 20 |he strength per |
00000210: 6F 75 6E 63 65 20 6F 66 20 74 68 65 20 53 74 72 |ounce of the Str|
00000220: 6F 6E 67 20 73 6F 6C 75 74 69 6F 6E 20 69 73 20 |ong solution is |
00000230: 7B 7D 20 6F 75 6E 63 65 73 2E 40 69 28 36 2C 69 |{} ounces.@i(6,i|
00000240: 2C 7B 7D 29 40 68 57 68 61 74 20 69 73 20 74 68 |,{})@hWhat is th|
00000250: 65 20 73 74 72 65 6E 67 74 68 20 70 65 72 20 6F |e strength per o|
00000260: 75 6E 63 65 20 6F 66 20 74 68 65 20 6D 69 78 74 |unce of the mixt|
00000270: 75 72 65 3F 40 68 54 68 65 20 73 74 72 65 6E 67 |ure?@hThe streng|
00000280: 74 68 20 70 65 72 20 6F 75 6E 63 65 20 6F 66 20 |th per ounce of |
00000290: 74 68 65 20 6D 69 78 20 69 73 20 7B 7D 20 6F 75 |the mix is {} ou|
000002A0: 6E 63 65 73 2E 40 69 28 37 2C 69 2C 7B 7D 29 40 |nces.@i(7,i,{})@|
000002B0: 70 45 6E 74 65 72 20 74 68 65 20 66 61 63 74 73 |pEnter the facts|
000002C0: 20 66 72 6F 6D 20 74 68 65 20 70 72 6F 62 6C 65 | from the proble|
000002D0: 6D 20 69 6E 74 6F 20 74 68 65 20 67 72 69 64 2E |m into the grid.|
000002E0: 40 68 54 68 65 72 65 20 61 72 65 20 26 68 7B 7D |@hThere are &h{}|
000002F0: 26 68 2E 40 68 54 68 65 20 6E 75 6D 62 65 72 20 |&h.@hThe number |
00000300: 6F 66 20 6F 75 6E 63 65 73 20 6F 66 20 73 6F 6C |of ounces of sol|
00000310: 75 74 69 6F 6E 20 69 6E 20 74 68 65 20 6D 69 78 |ution in the mix|
00000320: 20 69 73 20 7B 7D 2E 40 69 28 31 31 2C 69 2C 7B | is {}.@i(11,i,{|
00000330: 7D 29 40 70 52 65 70 72 65 73 65 6E 74 20 74 68 |})@pRepresent th|
00000340: 65 20 6E 75 6D 62 65 72 20 6F 66 20 6F 75 6E 63 |e number of ounc|
00000350: 65 73 20 6F 66 20 57 65 61 6B 20 61 6E 64 20 53 |es of Weak and S|
00000360: 74 72 6F 6E 67 20 73 6F 6C 75 74 69 6F 6E 73 20 |trong solutions |
00000370: 74 68 61 74 20 77 69 6C 6C 20 62 65 20 6E 65 65 |that will be nee|
00000380: 64 65 64 2E 40 68 43 68 6F 6F 73 65 20 61 20 76 |ded.@hChoose a v|
00000390: 61 72 69 61 62 6C 65 20 74 6F 20 72 65 70 72 65 |ariable to repre|
000003A0: 73 65 6E 74 20 74 68 65 20 6E 75 6D 62 65 72 20 |sent the number |
000003B0: 6F 66 20 6F 75 6E 63 65 73 20 6F 66 20 57 65 61 |of ounces of Wea|
000003C0: 6B 20 73 6F 6C 75 74 69 6F 6E 2E 40 68 55 73 65 |k solution.@hUse|
000003D0: 20 61 6E 79 20 6C 65 74 74 65 72 2C 20 73 75 63 | any letter, suc|
000003E0: 68 20 61 73 20 60 7B 7D 27 20 74 6F 20 72 65 70 |h as `{}' to rep|
000003F0: 72 65 73 65 6E 74 20 74 68 65 20 6E 75 6D 62 65 |resent the numbe|
00000400: 72 20 6F 66 20 6F 75 6E 63 65 73 20 6F 66 20 77 |r of ounces of w|
00000410: 65 61 6B 20 73 6F 6C 75 74 69 6F 6E 2E 40 69 28 |eak solution.@i(|
00000420: 39 2C 69 2C 26 76 29 40 68 52 65 70 72 65 73 65 |9,i,&v)@hReprese|
00000430: 6E 74 20 74 68 65 20 6E 75 6D 62 65 72 20 6F 66 |nt the number of|
00000440: 20 6F 75 6E 63 65 73 20 6F 66 20 74 68 65 20 53 | ounces of the S|
00000450: 74 72 6F 6E 67 20 73 6F 6C 75 74 69 6F 6E 20 69 |trong solution i|
00000460: 6E 20 74 65 72 6D 73 20 6F 66 20 22 26 76 22 20 |n terms of "&v" |
00000470: 28 74 68 65 20 6E 75 6D 62 65 72 20 6F 66 20 6F |(the number of o|
00000480: 75 6E 63 65 73 20 6F 66 20 57 65 61 6B 20 73 6F |unces of Weak so|
00000490: 6C 75 74 69 6F 6E 29 2E 40 68 7B 7D 2E 40 69 28 |lution).@h{}.@i(|
000004A0: 31 30 2C 69 2C 7B 7D 29 40 72 50 41 52 54 53 40 |10,i,{})@rPARTS@|
000004B0: 70 57 72 69 74 65 20 61 6E 20 65 78 70 72 65 73 |pWrite an expres|
000004C0: 73 69 6F 6E 20 74 6F 20 72 65 70 72 65 73 65 6E |sion to represen|
000004D0: 74 20 74 68 65 20 6E 75 6D 62 65 72 20 6F 66 20 |t the number of |
000004E0: 7B 7D 20 63 6F 6E 74 61 69 6E 65 64 20 69 6E 20 |{} contained in |
000004F0: 65 61 63 68 20 73 6F 6C 75 74 69 6F 6E 2E 40 68 |each solution.@h|
00000500: 4D 75 6C 74 69 70 6C 79 20 74 68 65 20 75 6E 69 |Multiply the uni|
00000510: 74 20 73 74 72 65 6E 67 74 68 20 62 79 20 74 68 |t strength by th|
00000520: 65 20 23 20 6F 66 20 6F 75 6E 63 65 73 20 6F 66 |e # of ounces of|
00000530: 20 57 65 61 6B 20 73 6F 6C 75 74 69 6F 6E 2E 40 | Weak solution.@|
00000540: 68 55 6E 69 74 20 73 74 72 6E 67 74 68 5C 66 31 |hUnit strngth\f1|
00000550: 34 2A 20 23 20 6F 66 20 6F 7A 73 20 20 20 20 5C |4* # of ozs \|
00000560: 66 32 35 3D 20 6F 7A 20 6F 66 20 57 65 61 6B 20 |f25= oz of Weak |
00000570: 5C 6E 20 20 7B 7D 20 20 20 5C 66 31 34 2A 20 20 |\n {} \f14* |
00000580: 20 20 20 26 76 27 20 20 20 20 20 5C 66 32 35 3D | &v' \f25=|
00000590: 20 6F 7A 20 6F 66 20 57 65 61 6B 40 69 28 31 33 | oz of Weak@i(13|
000005A0: 2C 69 2C 2E 7B 7D 29 40 68 4D 75 6C 74 69 70 6C |,i,.{})@hMultipl|
000005B0: 79 20 74 68 65 20 75 6E 69 74 20 73 74 72 65 6E |y the unit stren|
000005C0: 67 74 68 20 62 79 20 23 20 6F 66 20 6F 75 6E 63 |gth by # of ounc|
000005D0: 65 73 20 6F 66 20 53 74 72 6F 6E 67 20 73 6F 6C |es of Strong sol|
000005E0: 75 74 69 6F 6E 2E 40 68 55 6E 69 74 20 73 74 72 |ution.@hUnit str|
000005F0: 6E 67 74 68 20 5C 66 31 34 2A 20 20 23 20 6F 66 |ngth \f14* # of|
00000600: 20 6F 7A 73 20 20 20 20 5C 66 32 35 3D 20 6F 7A | ozs \f25= oz|
00000610: 20 6F 66 20 53 74 72 6F 6E 67 20 5C 6E 20 20 20 | of Strong \n |
00000620: 7B 7D 20 20 20 20 20 5C 66 31 34 2A 20 20 7B 7D |{} \f14* {}|
00000630: 20 5C 66 32 35 3D 20 6F 7A 20 6F 66 20 53 74 72 | \f25= oz of Str|
00000640: 6F 6E 67 40 69 28 31 34 2C 69 2C 7B 7D 29 40 68 |ong@i(14,i,{})@h|
00000650: 4D 75 6C 74 69 70 6C 79 20 74 68 65 20 75 6E 69 |Multiply the uni|
00000660: 74 20 73 74 72 65 6E 67 74 68 20 62 79 20 74 68 |t strength by th|
00000670: 65 20 23 20 6F 66 20 6F 75 6E 63 65 73 20 69 6E |e # of ounces in|
00000680: 20 74 68 65 20 6D 69 78 74 75 72 65 2E 40 68 55 | the mixture.@hU|
00000690: 6E 69 74 20 73 74 72 6E 67 74 68 20 5C 66 31 34 |nit strngth \f14|
000006A0: 2A 20 23 20 6F 66 20 6F 7A 73 20 20 5C 66 32 35 |* # of ozs \f25|
000006B0: 3D 20 6F 7A 20 6F 66 20 7B 7D 20 5C 6E 20 7B 7D |= oz of {} \n {}|
000006C0: 40 69 28 31 35 2C 69 2C 7B 7D 29 20 20 40 72 57 |@i(15,i,{}) @rW|
000006D0: 48 4F 4C 45 40 70 55 73 65 20 74 68 65 20 67 72 |HOLE@pUse the gr|
000006E0: 69 64 20 74 6F 20 77 72 69 74 65 20 61 6E 20 65 |id to write an e|
000006F0: 71 75 61 74 69 6F 6E 20 72 65 6C 61 74 69 6E 67 |quation relating|
00000700: 20 74 68 65 20 70 61 72 74 73 20 28 57 65 61 6B | the parts (Weak|
00000710: 20 61 6E 64 20 53 74 72 6F 6E 67 20 73 6F 6C 75 | and Strong solu|
00000720: 74 69 6F 6E 73 29 20 74 6F 20 74 68 65 20 77 68 |tions) to the wh|
00000730: 6F 6C 65 20 28 4D 69 78 29 2E 40 68 23 20 6F 7A |ole (Mix).@h# oz|
00000740: 20 57 65 61 6B 20 2B 20 23 20 6F 7A 20 53 74 72 | Weak + # oz Str|
00000750: 6F 6E 67 20 3D 20 74 6F 74 61 6C 20 23 20 6F 7A |ong = total # oz|
00000760: 40 68 23 20 6F 7A 20 57 65 61 6B 20 5C 66 31 31 |@h# oz Weak \f11|
00000770: 2B 20 23 20 6F 7A 20 53 74 72 6F 6E 67 20 20 5C |+ # oz Strong \|
00000780: 66 32 35 3D 20 54 6F 74 61 6C 20 5C 6E 7B 7D 40 |f25= Total \n{}@|
00000790: 69 28 31 36 2C 69 2C 7B 7D 29 40 73 40 72 43 4F |i(16,i,{})@s@rCO|
000007A0: 4D 50 55 54 45 40 70 53 6F 6C 76 65 20 74 68 65 |MPUTE@pSolve the|
000007B0: 20 65 71 75 61 74 69 6F 6E 20 66 6F 72 20 22 26 | equation for "&|
000007C0: 76 22 20 28 74 68 65 20 23 20 6F 66 20 6F 75 6E |v" (the # of oun|
000007D0: 63 65 73 20 6F 66 20 57 65 61 6B 20 73 6F 6C 2E |ces of Weak sol.|
000007E0: 29 2E 20 55 73 65 20 70 65 6E 63 69 6C 20 61 6E |). Use pencil an|
000007F0: 64 20 70 61 70 65 72 2C 20 6F 72 20 75 73 65 20 |d paper, or use |
00000800: 74 68 65 20 43 61 6C 63 75 6C 61 74 6F 72 2E 40 |the Calculator.@|
00000810: 68 49 73 6F 6C 61 74 65 20 22 26 76 22 20 6F 6E |hIsolate "&v" on|
00000820: 20 6F 6E 65 20 73 69 64 65 20 6F 66 20 74 68 65 | one side of the|
00000830: 20 65 71 75 61 74 69 6F 6E 2E 40 68 54 68 65 20 | equation.@hThe |
00000840: 43 61 6C 63 75 6C 61 74 6F 72 20 73 6F 6C 76 65 |Calculator solve|
00000850: 73 20 74 68 65 20 65 71 75 61 74 69 6F 6E 73 20 |s the equations |
00000860: 66 6F 72 20 79 6F 75 20 61 6E 64 20 64 69 73 70 |for you and disp|
00000870: 6C 61 79 73 20 74 68 65 20 73 74 65 70 73 20 69 |lays the steps i|
00000880: 6E 20 74 68 65 20 73 6F 6C 75 74 69 6F 6E 2E 40 |n the solution.@|
00000890: 69 28 31 36 2C 69 2C 26 76 3D 7B 7D 29 40 70 4E |i(16,i,&v={})@pN|
000008A0: 6F 77 20 65 6E 74 65 72 20 74 68 65 20 61 6E 73 |ow enter the ans|
000008B0: 77 65 72 28 73 29 20 74 6F 20 74 68 65 20 71 75 |wer(s) to the qu|
000008C0: 65 73 74 69 6F 6E 2E 20 52 65 6D 65 6D 62 65 72 |estion. Remember|
000008D0: 20 74 68 65 20 71 75 65 73 74 69 6F 6E 2E 20 26 | the question. &|
000008E0: 71 7B 7D 3F 26 71 26 77 28 31 36 29 40 68 54 68 |q{}?&q&w(16)@hTh|
000008F0: 65 20 6E 75 6D 62 65 72 20 6F 66 20 6F 75 6E 63 |e number of ounc|
00000900: 65 73 20 6F 66 20 57 65 61 6B 20 73 6F 6C 75 74 |es of Weak solut|
00000910: 69 6F 6E 20 69 73 20 74 68 65 20 76 61 6C 75 65 |ion is the value|
00000920: 20 6F 66 20 22 26 76 22 2E 40 68 7B 7D 40 69 28 | of "&v".@h{}@i(|
00000930: 39 2C 69 2C 7B 7D 29 40 73 40 72 43 48 45 43 4B |9,i,{})@s@rCHECK|
00000940: 40 70 52 65 72 65 61 64 20 74 68 65 20 70 72 6F |@pReread the pro|
00000950: 62 6C 65 6D 2E 20 43 68 65 63 6B 20 79 6F 75 72 |blem. Check your|
00000960: 20 61 6E 73 77 65 72 73 2E 20 52 65 70 6C 61 63 | answers. Replac|
00000970: 65 20 61 6C 6C 20 76 61 72 69 61 62 6C 65 73 20 |e all variables |
00000980: 69 6E 20 74 68 65 20 67 72 69 64 2E 40 68 54 68 |in the grid.@hTh|
00000990: 65 20 6E 75 6D 62 65 72 20 6F 66 20 6F 75 6E 63 |e number of ounc|
000009A0: 65 73 20 6F 66 20 53 74 72 6F 6E 67 20 73 6F 6C |es of Strong sol|
000009B0: 75 74 69 6F 6E 20 69 73 20 74 68 65 20 76 61 6C |ution is the val|
000009C0: 75 65 20 6F 66 20 7B 7D 2E 40 68 7B 7D 40 69 28 |ue of {}.@h{}@i(|
000009D0: 31 30 2C 69 2C 7B 7D 29 40 68 53 75 62 73 74 69 |10,i,{})@hSubsti|
000009E0: 74 75 74 65 20 66 6F 72 20 22 26 76 22 20 69 6E |tute for "&v" in|
000009F0: 20 74 68 65 20 65 78 70 72 65 73 73 69 6F 6E 20 | the expression |
00000A00: 66 6F 72 20 74 68 65 20 61 6D 6F 75 6E 74 20 6F |for the amount o|
00000A10: 66 20 7B 7D 20 69 6E 20 74 68 65 20 57 65 61 6B |f {} in the Weak|
00000A20: 20 73 6F 6C 2E 20 4E 6F 77 20 63 61 6C 63 75 6C | sol. Now calcul|
00000A30: 61 74 65 2E 40 68 7B 7D 40 69 28 31 33 2C 69 2C |ate.@h{}@i(13,i,|
00000A40: 7B 7D 29 40 68 53 75 62 73 74 69 74 75 74 65 20 |{})@hSubstitute |
00000A50: 66 6F 72 20 22 26 76 22 20 69 6E 20 74 68 65 20 |for "&v" in the |
00000A60: 65 78 70 72 65 73 73 69 6F 6E 20 66 6F 72 20 74 |expression for t|
00000A70: 68 65 20 61 6D 6F 75 6E 74 20 6F 66 20 7B 7D 20 |he amount of {} |
00000A80: 69 6E 20 74 68 65 20 53 74 72 6F 6E 67 20 73 6F |in the Strong so|
00000A90: 6C 2E 20 20 4E 6F 77 20 63 61 6C 63 75 6C 61 74 |l. Now calculat|
00000AA0: 65 2E 40 68 7B 7D 40 69 28 31 34 2C 69 2C 7B 7D |e.@h{}@i(14,i,{}|
00000AB0: 29 26 64 28 30 2C 20 4D 61 6B 65 20 73 75 72 65 |)&d(0, Make sure|
00000AC0: 20 74 68 65 20 73 75 6D 20 6F 66 20 74 68 65 20 | the sum of the |
00000AD0: 77 65 61 6B 20 61 6E 64 20 73 74 72 6F 6E 67 20 |weak and strong |
00000AE0: 73 6F 6C 75 74 69 6F 6E 73 20 65 71 75 61 6C 73 |solutions equals|
00000AF0: 20 74 68 65 20 74 6F 74 61 6C 20 61 6D 6F 75 6E | the total amoun|
00000B00: 74 20 6F 66 20 61 63 69 64 20 69 6E 20 74 68 65 |t of acid in the|
00000B10: 20 6D 69 78 74 75 72 65 2E 29 40 66 41 20 63 68 | mixture.)@fA ch|
00000B20: 65 6D 69 73 74 20 6E 65 65 64 73 20 74 6F 20 6D |emist needs to m|
00000B30: 61 6B 65 20 61 20 35 30 25 20 73 75 6C 70 68 75 |ake a 50% sulphu|
00000B40: 72 69 63 20 61 63 69 64 20 73 6F 6C 75 74 69 6F |ric acid solutio|
00000B50: 6E 20 62 79 20 6D 69 78 69 6E 67 20 61 20 33 30 |n by mixing a 30|
00000B60: 25 20 73 6F 6C 75 74 69 6F 6E 20 61 6E 64 20 61 |% solution and a|
00000B70: 20 36 30 25 20 73 6F 6C 75 74 69 6F 6E 2E 20 49 | 60% solution. I|
00000B80: 66 20 73 68 65 20 6E 65 65 64 73 20 31 32 30 20 |f she needs 120 |
00000B90: 6F 75 6E 63 65 73 20 6F 66 20 74 68 65 20 6E 65 |ounces of the ne|
00000BA0: 77 20 73 6F 6C 75 74 69 6F 6E 2C 20 68 6F 77 20 |w solution, how |
00000BB0: 6D 61 6E 79 20 6F 75 6E 63 65 73 20 6F 66 20 74 |many ounces of t|
00000BC0: 68 65 20 33 30 25 20 73 6F 6C 75 74 69 6F 6E 20 |he 30% solution |
00000BD0: 61 72 65 20 6E 65 65 64 65 64 00 6F 7A 20 6F 66 |are needed.oz of|
00000BE0: 20 70 75 72 65 00 31 32 30 20 6F 75 6E 63 65 73 | pure.120 ounces|
00000BF0: 20 6F 66 20 61 20 35 30 25 20 73 6F 6C 75 74 69 | of a 50% soluti|
00000C00: 6F 6E 20 69 73 20 74 6F 20 62 65 20 6D 61 64 65 |on is to be made|
00000C10: 20 62 79 20 6D 69 78 69 6E 67 20 61 20 33 30 25 | by mixing a 30%|
00000C20: 20 73 6F 6C 75 74 69 6F 6E 20 77 69 74 68 20 61 | solution with a|
00000C30: 20 35 30 25 20 73 6F 6C 75 74 69 6F 6E 00 48 6F | 50% solution.Ho|
00000C40: 77 20 6D 61 6E 79 20 6F 75 6E 63 65 73 20 6F 66 |w many ounces of|
00000C50: 20 74 68 65 20 33 30 25 20 73 6F 6C 75 74 69 6F | the 30% solutio|
00000C60: 6E 20 61 72 65 20 6E 65 65 64 65 64 00 2E 33 30 |n are needed..30|
00000C70: 00 2E 33 00 60 2E 36 30 27 00 2E 36 00 60 2E 35 |..3.`.60'..6.`.5|
00000C80: 30 27 00 2E 35 30 00 31 32 30 20 6F 75 6E 63 65 |0'..50.120 ounce|
00000C90: 73 20 6F 66 20 74 68 65 20 6E 65 77 20 73 6F 6C |s of the new sol|
00000CA0: 75 74 69 6F 6E 2C 00 60 31 32 30 27 00 31 32 30 |ution,.`120'.120|
00000CB0: 00 77 00 54 68 65 72 65 20 61 72 65 20 31 32 30 |.w.There are 120|
00000CC0: 20 6F 75 6E 63 65 73 20 74 6F 74 61 6C 2E 20 49 | ounces total. I|
00000CD0: 66 20 74 68 65 72 65 20 61 72 65 20 22 26 76 22 |f there are "&v"|
00000CE0: 20 6F 75 6E 63 65 73 20 6F 66 20 33 30 25 20 61 | ounces of 30% a|
00000CF0: 63 69 64 2C 20 20 60 31 32 30 2D 26 76 27 20 77 |cid, `120-&v' w|
00000D00: 69 6C 6C 20 62 65 20 74 68 65 20 76 6F 6C 75 6D |ill be the volum|
00000D10: 65 20 6F 66 20 74 68 65 20 73 74 72 6F 6E 67 20 |e of the strong |
00000D20: 61 63 69 64 00 31 32 30 2D 26 76 00 61 63 69 64 |acid.120-&v.acid|
00000D30: 20 28 69 6E 20 6F 75 6E 63 65 73 29 00 60 2E 33 | (in ounces).`.3|
00000D40: 00 33 26 76 00 60 2E 36 00 28 31 32 30 2D 26 76 |.3&v.`.6.(120-&v|
00000D50: 29 27 00 2E 36 2A 28 31 32 30 2D 26 76 29 00 61 |)'..6*(120-&v).a|
00000D60: 63 69 64 00 2E 35 30 20 20 20 20 20 20 20 20 5C |cid..50 \|
00000D70: 66 31 34 2A 20 20 20 20 31 32 30 20 20 20 20 5C |f14* 120 \|
00000D80: 66 32 35 3D 20 20 20 20 60 36 30 27 00 2E 35 2A |f25= `60'..5*|
00000D90: 31 32 30 00 60 2E 33 26 76 20 20 20 5C 66 31 31 |120.`.3&v \f11|
00000DA0: 2B 20 2E 36 28 31 32 30 2D 26 76 29 20 20 20 5C |+ .6(120-&v) \|
00000DB0: 66 32 33 3D 20 20 36 30 27 00 2E 33 26 76 2B 2E |f23= 60'..3&v+.|
00000DC0: 36 28 31 32 30 2D 26 76 29 3D 36 30 00 34 30 00 |6(120-&v)=60.40.|
00000DD0: 48 6F 77 20 6D 61 6E 79 20 6F 75 6E 63 65 73 20 |How many ounces |
00000DE0: 6F 66 20 74 68 65 20 33 30 25 20 73 6F 6C 75 74 |of the 30% solut|
00000DF0: 69 6F 6E 20 69 73 20 6E 65 65 64 65 64 00 54 68 |ion is needed.Th|
00000E00: 65 20 6E 75 6D 62 65 72 20 6F 66 20 6F 75 6E 63 |e number of ounc|
00000E10: 65 73 20 6F 66 20 77 65 61 6B 20 73 6F 6C 75 74 |es of weak solut|
00000E20: 69 6F 6E 20 69 73 20 74 68 65 20 76 61 6C 75 65 |ion is the value|
00000E30: 20 6F 66 20 22 26 76 22 2E 20 26 76 20 3D 20 60 | of "&v". &v = `|
00000E40: 34 30 27 00 34 30 00 31 32 30 2D 26 76 00 31 32 |40'.40.120-&v.12|
00000E50: 30 2D 26 76 20 3D 20 31 32 30 2D 34 30 20 3D 20 |0-&v = 120-40 = |
00000E60: 60 38 30 27 00 38 30 00 61 63 69 64 00 2E 33 26 |`80'.80.acid..3&|
00000E70: 76 3D 2E 33 2A 34 30 20 3D 20 60 31 32 27 00 31 |v=.3*40 = `12'.1|
00000E80: 32 00 61 63 69 64 00 2E 36 2A 28 31 32 30 2D 26 |2.acid..6*(120-&|
00000E90: 76 29 3D 2E 36 2A 28 31 32 30 2D 34 30 29 3D 2E |v)=.6*(120-40)=.|
00000EA0: 36 2A 38 30 20 3D 20 60 34 38 27 00 34 38 00 40 |6*80 = `48'.48.@|
00000EB0: 66 41 20 35 25 20 69 6F 64 69 6E 65 20 73 6F 6C |fA 5% iodine sol|
00000EC0: 75 74 69 6F 6E 20 69 73 20 6D 69 78 65 64 20 77 |ution is mixed w|
00000ED0: 69 74 68 20 61 20 31 30 25 20 69 6F 64 69 6E 65 |ith a 10% iodine|
00000EE0: 20 73 6F 6C 75 74 69 6F 6E 20 74 6F 20 63 72 65 | solution to cre|
00000EF0: 61 74 65 20 31 35 20 6F 75 6E 63 65 73 20 6F 66 |ate 15 ounces of|
00000F00: 20 61 6E 20 38 25 20 73 6F 6C 75 74 69 6F 6E 2E | an 8% solution.|
00000F10: 20 48 6F 77 20 6D 61 6E 79 20 6F 75 6E 63 65 73 | How many ounces|
00000F20: 20 6F 66 20 74 68 65 20 35 25 20 73 6F 6C 75 74 | of the 5% solut|
00000F30: 69 6F 6E 20 73 68 6F 75 6C 64 20 62 65 20 75 73 |ion should be us|
00000F40: 65 64 00 6F 7A 20 6F 66 20 70 75 72 65 00 26 68 |ed.oz of pure.&h|
00000F50: 41 20 35 25 20 69 6F 64 69 6E 65 20 73 6F 6C 75 |A 5% iodine solu|
00000F60: 74 69 6F 6E 20 69 73 20 6D 69 78 65 64 20 77 69 |tion is mixed wi|
00000F70: 74 68 20 61 20 31 30 25 20 69 6F 64 69 6E 65 20 |th a 10% iodine |
00000F80: 73 6F 6C 75 74 69 6F 6E 20 74 6F 20 63 72 65 61 |solution to crea|
00000F90: 74 65 20 31 35 20 6F 75 6E 63 65 73 20 6F 66 20 |te 15 ounces of |
00000FA0: 61 6E 20 38 25 20 73 6F 6C 75 74 69 6F 6E 26 68 |an 8% solution&h|
00000FB0: 00 48 6F 77 20 6D 61 6E 79 20 6F 75 6E 63 65 73 |.How many ounces|
00000FC0: 20 6F 66 20 74 68 65 20 35 25 20 73 6F 6C 75 74 | of the 5% solut|
00000FD0: 69 6F 6E 20 73 68 6F 75 6C 64 20 62 65 20 75 73 |ion should be us|
00000FE0: 65 64 00 2E 30 35 00 2E 30 35 00 60 2E 31 30 27 |ed..05..05.`.10'|
00000FF0: 00 2E 31 30 00 60 2E 30 38 27 00 2E 30 38 00 31 |..10.`.08'..08.1|
00001000: 35 20 6F 75 6E 63 65 73 20 6F 66 20 61 6E 20 38 |5 ounces of an 8|
00001010: 25 20 69 6F 64 69 6E 65 20 73 6F 6C 75 74 69 6F |% iodine solutio|
00001020: 6E 00 60 31 35 27 00 31 35 00 77 00 54 68 65 20 |n.`15'.15.w.The |
00001030: 74 6F 74 61 6C 20 76 6F 6C 75 6D 65 20 69 73 20 |total volume is |
00001040: 31 35 20 6F 75 6E 63 65 73 2E 20 49 66 20 74 68 |15 ounces. If th|
00001050: 65 72 65 20 61 72 65 20 22 26 76 22 20 6F 7A 73 |ere are "&v" ozs|
00001060: 20 6F 66 20 35 25 20 69 6F 64 69 6E 65 2C 20 60 | of 5% iodine, `|
00001070: 31 35 2D 26 76 27 20 69 73 20 74 68 65 20 76 6F |15-&v' is the vo|
00001080: 6C 75 6D 65 20 6F 66 20 74 68 65 20 53 74 72 6F |lume of the Stro|
00001090: 6E 67 20 73 6F 6C 75 74 69 6F 6E 00 28 31 35 2D |ng solution.(15-|
000010A0: 26 76 29 00 6F 75 6E 63 65 73 20 6F 66 20 69 6F |&v).ounces of io|
000010B0: 64 69 6E 65 00 60 2E 30 35 00 30 35 2A 26 76 00 |dine.`.05.05*&v.|
000010C0: 60 2E 31 00 28 31 35 2D 26 76 29 27 00 2E 31 2A |`.1.(15-&v)'..1*|
000010D0: 28 31 35 2D 26 76 29 00 69 6F 64 2E 00 20 20 2E |(15-&v).iod.. .|
000010E0: 30 38 20 20 20 20 20 20 5C 66 31 34 2A 20 20 20 |08 \f14* |
000010F0: 28 31 35 29 20 20 20 20 5C 66 32 35 3D 20 20 20 |(15) \f25= |
00001100: 60 31 2E 32 27 00 31 2E 32 00 20 60 2E 30 35 2A |`1.2'.1.2. `.05*|
00001110: 26 76 20 5C 66 31 31 2B 20 20 20 2E 31 28 31 35 |&v \f11+ .1(15|
00001120: 2D 26 76 29 20 20 5C 66 32 35 3D 20 20 31 2E 32 |-&v) \f25= 1.2|
00001130: 27 00 2E 30 35 26 76 2B 2E 31 28 31 35 2D 26 76 |'..05&v+.1(15-&v|
00001140: 29 3D 31 2E 32 00 36 00 48 6F 77 20 6D 61 6E 79 |)=1.2.6.How many|
00001150: 20 6F 75 6E 63 65 73 20 6F 66 20 35 25 20 73 6F | ounces of 5% so|
00001160: 6C 75 74 69 6F 6E 20 73 68 6F 75 6C 64 20 62 65 |lution should be|
00001170: 20 75 73 65 64 00 54 68 65 20 6E 75 6D 62 65 72 | used.The number|
00001180: 20 6F 66 20 6F 75 6E 63 65 73 20 6F 66 20 57 65 | of ounces of We|
00001190: 61 6B 20 73 6F 6C 75 74 69 6F 6E 20 69 73 20 74 |ak solution is t|
000011A0: 68 65 20 76 61 6C 75 65 20 6F 66 20 22 26 76 22 |he value of "&v"|
000011B0: 2E 20 26 76 20 3D 20 60 36 27 00 36 00 28 60 31 |. &v = `6'.6.(`1|
000011C0: 35 2D 26 76 27 29 00 31 35 2D 26 76 20 3D 20 31 |5-&v').15-&v = 1|
000011D0: 35 2D 36 20 3D 20 60 39 27 2E 00 39 00 6F 75 6E |5-6 = `9'..9.oun|
000011E0: 63 65 73 20 6F 66 20 70 75 72 65 20 69 6F 64 69 |ces of pure iodi|
000011F0: 6E 65 00 2E 30 35 2A 26 76 20 3D 20 2E 30 35 2A |ne..05*&v = .05*|
00001200: 36 20 3D 20 60 2E 33 27 2E 00 2E 33 00 6F 75 6E |6 = `.3'...3.oun|
00001210: 63 65 73 20 6F 66 20 70 75 72 65 20 69 6F 64 69 |ces of pure iodi|
00001220: 6E 65 00 2E 31 2A 28 31 35 2D 26 76 29 20 3D 20 |ne..1*(15-&v) = |
00001230: 2E 31 2A 28 31 35 2D 36 29 20 3D 20 2E 31 2A 39 |.1*(15-6) = .1*9|
00001240: 20 3D 20 60 2E 39 27 00 2E 39 00 7C 00 | = `.9'..9.|. |
A@Q{}?@DG02&D(1,WEAK SOL.)&D(2,STRNG SO
L.)&D(3,MIX)&D(4,UNIT STREN)&D(8,OZ OF S
OL)&D(12,{})@RREAD@PREAD THE WHOLE PROBL
EM. THINK: WHAT ARE THE FACTS? WHAT IS B
EING ASKED? (PRESS ANY KEY TO CONTINUE.)
@HWHAT ARE THE FACTS? {}.@HWHAT IS BEING
ASKED? &H{}&H?@I(0)@RDATA ENTRY@PFILL I
N THE GRID -- START WITH THE STRENGTHS P
ER UNIT.@HWHAT IS THE STRENGTH PER OUNCE
OF THE WEAK SOLUTION?@HTHE STRENGTH PER
OUNCE OF THE WEAK SOLUTION IS `{}' OUNC
ES.@I(5,I,{})@HWHAT IS THE STRENGTH PER
OUNCE OF THE STRONG SOLUTION?@HTHE STREN
GTH PER OUNCE OF THE STRONG SOLUTION IS
{} OUNCES.@I(6,I,{})@HWHAT IS THE STRENG
TH PER OUNCE OF THE MIXTURE?@HTHE STRENG
TH PER OUNCE OF THE MIX IS {} OUNCES.@I(
7,I,{})@PENTER THE FACTS FROM THE PROBLE
M INTO THE GRID.@HTHERE ARE &H{}&H.@HTHE
NUMBER OF OUNCES OF SOLUTION IN THE MIX
IS {}.@I(11,I,{})@PREPRESENT THE NUMBER
OF OUNCES OF WEAK AND STRONG SOLUTIONS
THAT WILL BE NEEDED.@HCHOOSE A VARIABLE
TO REPRESENT THE NUMBER OF OUNCES OF WEA
K SOLUTION.@HUSE ANY LETTER, SUCH AS `{}
' TO REPRESENT THE NUMBER OF OUNCES OF W
EAK SOLUTION.@I(9,I,&V)@HREPRESENT THE N
UMBER OF OUNCES OF THE STRONG SOLUTION I
N TERMS OF "&V" (THE NUMBER OF OUNCES OF
WEAK SOLUTION).@H{}.@I(10,I,{})@RPARTS@
PWRITE AN EXPRESSION TO REPRESENT THE NU
MBER OF {} CONTAINED IN EACH SOLUTION.@H
MULTIPLY THE UNIT STRENGTH BY THE # OF O
UNCES OF WEAK SOLUTION.@HUNIT STRNGTH\F1
4* # OF OZS \F25= OZ OF WEAK \N {}
\F14* &V' \F25= OZ OF WEAK@I(13
,I,.{})@HMULTIPLY THE UNIT STRENGTH BY #
OF OUNCES OF STRONG SOLUTION.@HUNIT STR
NGTH \F14* # OF OZS \F25= OZ OF STRO
NG \N {} \F14* {} \F25= OZ OF STR
ONG@I(14,I,{})@HMULTIPLY THE UNIT STRENG
TH BY THE # OF OUNCES IN THE MIXTURE.@HU
NIT STRNGTH \F14* # OF OZS \F25= OZ OF
{} \N {}@I(15,I,{}) @RWHOLE@PUSE THE GR
ID TO WRITE AN EQUATION RELATING THE PAR
TS (WEAK AND STRONG SOLUTIONS) TO THE WH
OLE (MIX).@H# OZ WEAK + # OZ STRONG = TO
TAL # OZ@H# OZ WEAK \F11+ # OZ STRONG \
F25= TOTAL \N{}@I(16,I,{})@S@RCOMPUTE@PS
OLVE THE EQUATION FOR "&V" (THE # OF OUN
CES OF WEAK SOL.). USE PENCIL AND PAPER,
OR USE THE CALCULATOR.@HISOLATE "&V" ON
ONE SIDE OF THE EQUATION.@HTHE CALCULAT
OR SOLVES THE EQUATIONS FOR YOU AND DISP
LAYS THE STEPS IN THE SOLUTION.@I(16,I,&
V={})@PNOW ENTER THE ANSWER(S) TO THE QU
ESTION. REMEMBER THE QUESTION. &Q{}?&Q&W
(16)@HTHE NUMBER OF OUNCES OF WEAK SOLUT
ION IS THE VALUE OF "&V".@H{}@I(9,I,{})@
S@RCHECK@PREREAD THE PROBLEM. CHECK YOUR
ANSWERS. REPLACE ALL VARIABLES IN THE G
RID.@HTHE NUMBER OF OUNCES OF STRONG SOL
UTION IS THE VALUE OF {}.@H{}@I(10,I,{})
@HSUBSTITUTE FOR "&V" IN THE EXPRESSION
FOR THE AMOUNT OF {} IN THE WEAK SOL. NO
W CALCULATE.@H{}@I(13,I,{})@HSUBSTITUTE
FOR "&V" IN THE EXPRESSION FOR THE AMOUN
T OF {} IN THE STRONG SOL. NOW CALCULAT
E.@H{}@I(14,I,{})&D(0, MAKE SURE THE SUM
OF THE WEAK AND STRONG SOLUTIONS EQUALS
THE TOTAL AMOUNT OF ACID IN THE MIXTURE
.)@FA CHEMIST NEEDS TO MAKE A 50% SULPHU
RIC ACID SOLUTION BY MIXING A 30% SOLUTI
ON AND A 60% SOLUTION. IF SHE NEEDS 120
OUNCES OF THE NEW SOLUTION, HOW MANY OUN
CES OF THE 30% SOLUTION ARE NEEDED.OZ OF
PURE.120 OUNCES OF A 50% SOLUTION IS TO
BE MADE BY MIXING A 30% SOLUTION WITH A
50% SOLUTION.HOW MANY OUNCES OF THE 30%
SOLUTION ARE NEEDED..30..3.`.60'..6.`.5
0'..50.120 OUNCES OF THE NEW SOLUTION,.`
120'.120.W.THERE ARE 120 OUNCES TOTAL. I
F THERE ARE "&V" OUNCES OF 30% ACID, `1
20-&V' WILL BE THE VOLUME OF THE STRONG
ACID.120-&V.ACID (IN OUNCES).`.3.3&V.`.6
.(120-&V)'..6*(120-&V).ACID..50 \
F14* 120 \F25= `60'..5*120.`.3&
V \F11+ .6(120-&V) \F23= 60'..3&V+.
6(120-&V)=60.40.HOW MANY OUNCES OF THE 3
0% SOLUTION IS NEEDED.THE NUMBER OF OUNC
ES OF WEAK SOLUTION IS THE VALUE OF "&V"
. &V = `40'.40.120-&V.120-&V = 120-40 =
`80'.80.ACID..3&V=.3*40 = `12'.12.ACID..
6*(120-&V)=.6*(120-40)=.6*80 = `48'.48.@
FA 5% IODINE SOLUTION IS MIXED WITH A 10
% IODINE SOLUTION TO CREATE 15 OUNCES OF
AN 8% SOLUTION. HOW MANY OUNCES OF THE
5% SOLUTION SHOULD BE USED.OZ OF PURE.&H
A 5% IODINE SOLUTION IS MIXED WITH A 10%
IODINE SOLUTION TO CREATE 15 OUNCES OF
AN 8% SOLUTION&H.HOW MANY OUNCES OF THE
5% SOLUTION SHOULD BE USED..05..05.`.10'
..10.`.08'..08.15 OUNCES OF AN 8% IODINE
SOLUTION.`15'.15.W.THE TOTAL VOLUME IS
15 OUNCES. IF THERE ARE "&V" OZS OF 5% I
ODINE, `15-&V' IS THE VOLUME OF THE STRO
NG SOLUTION.(15-&V).OUNCES OF IODINE.`.0
5.05*&V.`.1.(15-&V)'..1*(15-&V).IOD.. .
08 \F14* (15) \F25= `1.2'.1.
2. `.05*&V \F11+ .1(15-&V) \F25= 1.2
'..05&V+.1(15-&V)=1.2.6.HOW MANY OUNCES
OF 5% SOLUTION SHOULD BE USED.THE NUMBER
OF OUNCES OF WEAK SOLUTION IS THE VALUE
OF "&V". &V = `6'.6.(`15-&V').15-&V = 1
5-6 = `9'..9.OUNCES OF PURE IODINE..05*&
V = .05*6 = `.3'...3.OUNCES OF PURE IODI
NE..1*(15-&V) = .1*(15-6) = .1*9 = `.9'.
.9.|.
×
C64 Image
> CLICK IMAGE PREVIEW FOR FULL MODAL