MIXT1L4
FILE INFORMATION
FILENAME(S): MIXT1L4
FILE TYPE(S): PRG
FILE SIZE: 6.4K
FIRST SEEN: 2025-10-19 22:48:55
APPEARS ON: 1 disk(s)
FILE HASH
56e6e9c754e678f2778cb44960bcb6c00c9a1bca1babba7cccdd700f4e1048ef
FOUND ON DISKS (1 DISKS)
| DISK TITLE | FILENAME | FILE TYPE | COLLECTION | TRACK | SECTOR | ACTIONS |
|---|---|---|---|---|---|---|
| HHM 100785 44S1 | MIXT1L4 | PRG | Radd Maxx | 6 | 0 | DOWNLOAD FILE |
FILE CONTENT & ANALYSIS
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00000E80: 31 27 00 31 34 00 31 00 61 6D 6F 75 6E 74 20 6F |1'.14.1.amount o|
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00000EA0: 28 26 76 2B 35 29 20 3D 20 2E 32 35 28 31 2B 35 |(&v+5) = .25(1+5|
00000EB0: 29 20 3D 20 60 31 2E 35 27 2E 20 54 68 65 72 65 |) = `1.5'. There|
00000EC0: 20 61 72 65 20 31 2E 35 20 67 61 6C 6C 6F 6E 73 | are 1.5 gallons|
00000ED0: 20 6F 66 20 61 6E 74 69 66 72 65 65 7A 65 00 31 | of antifreeze.1|
00000EE0: 2E 35 00 57 65 61 6B 20 61 6E 64 20 50 75 72 65 |.5.Weak and Pure|
00000EF0: 20 73 6F 6C 75 74 69 6F 6E 73 00 40 66 42 72 61 | solutions.@fBra|
00000F00: 73 73 20 69 73 20 66 6F 72 6D 65 64 20 62 79 20 |ss is formed by |
00000F10: 63 6F 6D 62 69 6E 69 6E 67 20 6D 65 6C 74 65 64 |combining melted|
00000F20: 20 63 6F 70 70 65 72 28 63 75 2E 29 20 61 6E 64 | copper(cu.) and|
00000F30: 20 6D 65 6C 74 65 64 20 6E 69 63 6B 65 6C 2E 20 | melted nickel. |
00000F40: 48 6F 77 20 6D 75 63 68 20 63 6F 70 70 65 72 20 |How much copper |
00000F50: 77 6F 75 6C 64 20 6E 65 65 64 20 74 6F 20 62 65 |would need to be|
00000F60: 20 61 64 64 65 64 20 74 6F 20 32 30 20 70 6F 75 | added to 20 pou|
00000F70: 6E 64 73 20 6F 66 20 62 72 61 73 73 20 74 68 61 |nds of brass tha|
00000F80: 74 20 69 73 20 32 30 25 20 63 6F 70 70 65 72 20 |t is 20% copper |
00000F90: 74 6F 20 63 72 65 61 74 65 20 61 20 62 72 61 73 |to create a bras|
00000FA0: 73 20 74 68 61 74 20 69 73 20 36 30 25 20 63 6F |s that is 60% co|
00000FB0: 70 70 65 72 00 57 65 61 6B 00 50 75 72 65 00 6C |pper.Weak.Pure.l|
00000FC0: 62 73 20 6F 66 20 62 72 61 73 73 00 6C 62 73 20 |bs of brass.lbs |
00000FD0: 6F 66 20 63 75 2E 00 26 71 32 30 20 70 6F 75 6E |of cu..&q20 poun|
00000FE0: 64 73 20 6F 66 20 62 72 61 73 73 20 74 68 61 74 |ds of brass that|
00000FF0: 20 69 73 20 32 30 25 20 63 6F 70 70 65 72 26 71 | is 20% copper&q|
00001000: 00 48 6F 77 20 6D 75 63 68 20 63 6F 70 70 65 72 |.How much copper|
00001010: 20 77 6F 75 6C 64 20 6E 65 65 64 20 74 6F 20 62 | would need to b|
00001020: 65 20 61 64 64 65 64 26 68 00 70 6F 75 6E 64 20 |e added&h.pound |
00001030: 6F 66 20 74 68 65 20 57 65 61 6B 20 63 6F 70 70 |of the Weak copp|
00001040: 65 72 20 73 6F 6C 75 74 69 6F 6E 00 70 6F 75 6E |er solution.poun|
00001050: 64 20 6F 66 20 74 68 65 20 57 65 61 6B 20 63 6F |d of the Weak co|
00001060: 70 70 65 72 20 73 6F 6C 75 74 69 6F 6E 20 69 73 |pper solution is|
00001070: 20 60 2E 32 30 27 20 70 6F 75 6E 64 73 00 2E 32 | `.20' pounds..2|
00001080: 30 00 2E 32 30 00 70 6F 75 6E 64 00 50 75 72 65 |0..20.pound.Pure|
00001090: 20 63 6F 70 70 65 72 20 73 6F 6C 75 74 69 6F 6E | copper solution|
000010A0: 00 70 6F 75 6E 64 20 6F 66 20 74 68 65 20 50 75 |.pound of the Pu|
000010B0: 72 65 20 63 6F 70 70 65 72 20 73 6F 6C 75 74 69 |re copper soluti|
000010C0: 6F 6E 20 69 73 20 60 31 27 20 70 6F 75 6E 64 00 |on is `1' pound.|
000010D0: 31 00 31 00 70 6F 75 6E 64 00 70 6F 75 6E 64 00 |1.1.pound.pound.|
000010E0: 60 2E 36 30 27 20 70 6F 75 6E 64 73 00 2E 36 30 |`.60' pounds..60|
000010F0: 00 54 68 65 72 65 20 61 72 65 20 26 68 32 30 20 |.There are &h20 |
00001100: 70 6F 75 6E 64 73 20 6F 66 20 62 72 61 73 73 20 |pounds of brass |
00001110: 74 68 61 74 20 69 73 20 32 30 25 20 63 6F 70 70 |that is 20% copp|
00001120: 65 72 00 70 6F 75 6E 64 73 20 6F 66 20 62 72 61 |er.pounds of bra|
00001130: 73 73 20 69 73 20 60 32 30 27 00 39 00 32 30 00 |ss is `20'.9.20.|
00001140: 50 75 72 65 20 63 6F 70 70 65 72 00 70 6F 75 6E |Pure copper.poun|
00001150: 64 73 20 6F 66 20 50 75 72 65 20 63 6F 70 70 65 |ds of Pure coppe|
00001160: 72 00 60 70 27 20 74 6F 20 72 65 70 72 65 73 65 |r.`p' to represe|
00001170: 6E 74 20 74 68 65 20 6E 75 6D 62 65 72 20 6F 66 |nt the number of|
00001180: 20 70 6F 75 6E 64 73 20 6F 66 20 50 75 72 65 20 | pounds of Pure |
00001190: 63 6F 70 70 65 72 00 31 30 00 70 6F 75 6E 64 73 |copper.10.pounds|
000011A0: 00 74 68 65 20 23 20 6F 66 20 70 6F 75 6E 64 73 |.the # of pounds|
000011B0: 20 6F 66 20 50 75 72 65 20 63 6F 70 70 65 72 00 | of Pure copper.|
000011C0: 32 30 25 20 61 6E 64 20 74 68 65 20 50 75 72 65 |20% and the Pure|
000011D0: 20 63 6F 70 70 65 72 20 73 6F 6C 75 74 69 6F 6E | copper solution|
000011E0: 73 00 60 26 76 2B 32 30 27 20 70 6F 75 6E 64 73 |s.`&v+20' pounds|
000011F0: 00 26 76 2B 32 30 00 63 6F 70 70 65 72 00 70 6F |.&v+20.copper.po|
00001200: 75 6E 64 73 20 6F 66 20 57 65 61 6B 20 73 6F 6C |unds of Weak sol|
00001210: 75 74 69 6F 6E 00 6C 62 00 6C 62 73 00 57 65 61 |ution.lb.lbs.Wea|
00001220: 6B 00 2E 32 30 00 32 30 00 57 65 61 6B 00 2E 32 |k..20.20.Weak..2|
00001230: 30 2A 32 30 00 70 6F 75 6E 64 73 20 6F 66 20 50 |0*20.pounds of P|
00001240: 75 72 65 20 73 6F 6C 75 74 69 6F 6E 00 6C 62 00 |ure solution.lb.|
00001250: 6C 62 73 00 50 75 72 65 00 31 00 26 76 00 50 75 |lbs.Pure.1.&v.Pu|
00001260: 72 65 00 31 2A 26 76 00 70 6F 75 6E 64 73 20 6F |re.1*&v.pounds o|
00001270: 66 20 73 74 72 6F 6E 67 65 72 20 63 6F 70 70 65 |f stronger coppe|
00001280: 72 20 73 6F 6C 75 74 69 6F 6E 00 6C 62 00 6C 62 |r solution.lb.lb|
00001290: 73 00 63 75 2E 00 2E 36 30 00 26 76 2B 32 30 00 |s.cu...60.&v+20.|
000012A0: 63 75 2E 00 2E 36 30 2A 28 26 76 2B 32 30 29 00 |cu...60*(&v+20).|
000012B0: 57 65 61 6B 20 61 6E 64 20 50 75 72 65 20 73 6F |Weak and Pure so|
000012C0: 6C 75 74 69 6F 6E 73 00 57 65 61 6B 20 61 6D 74 |lutions.Weak amt|
000012D0: 00 50 75 72 65 20 61 6D 74 00 60 34 2B 26 76 20 |.Pure amt.`4+&v |
000012E0: 3D 20 2E 36 28 26 76 2B 32 30 29 27 00 34 2B 26 |= .6(&v+20)'.4+&|
000012F0: 76 3D 2E 36 28 26 76 2B 32 30 29 00 74 68 65 20 |v=.6(&v+20).the |
00001300: 23 20 6F 66 20 70 6F 75 6E 64 73 20 6F 66 20 50 |# of pounds of P|
00001310: 75 72 65 20 63 6F 70 70 65 72 00 32 30 00 48 6F |ure copper.20.Ho|
00001320: 77 20 6D 75 63 68 20 63 6F 70 70 65 72 20 77 6F |w much copper wo|
00001330: 75 6C 64 20 62 65 20 6E 65 65 64 65 64 20 74 6F |uld be needed to|
00001340: 20 63 72 65 61 74 65 20 61 20 62 72 61 73 73 20 | create a brass |
00001350: 74 68 61 74 20 69 73 20 36 30 25 20 63 6F 70 70 |that is 60% copp|
00001360: 65 72 00 70 6F 75 6E 64 73 20 6F 66 20 50 75 72 |er.pounds of Pur|
00001370: 65 20 63 6F 70 70 65 72 00 32 30 00 31 30 00 32 |e copper.20.10.2|
00001380: 30 00 70 6F 75 6E 64 73 20 6F 66 20 36 30 25 20 |0.pounds of 60% |
00001390: 73 6F 6C 75 74 69 6F 6E 00 60 26 76 2B 32 30 27 |solution.`&v+20'|
000013A0: 00 26 76 2B 32 30 20 3D 20 32 30 2B 32 30 20 3D |.&v+20 = 20+20 =|
000013B0: 20 60 34 30 27 2E 20 54 68 65 72 65 20 61 72 65 | `40'. There are|
000013C0: 20 34 30 20 70 6F 75 6E 64 73 20 6F 66 20 36 30 | 40 pounds of 60|
000013D0: 25 20 63 75 2E 20 73 6F 6C 75 74 69 6F 6E 00 34 |% cu. solution.4|
000013E0: 30 00 63 6F 70 70 65 72 20 69 6E 20 74 68 65 20 |0.copper in the |
000013F0: 50 75 72 65 20 73 6F 6C 75 74 69 6F 6E 00 26 76 |Pure solution.&v|
00001400: 20 3D 20 60 32 30 27 00 31 34 00 32 30 00 61 6D | = `20'.14.20.am|
00001410: 6F 75 6E 74 20 6F 66 20 63 6F 70 70 65 72 00 2E |ount of copper..|
00001420: 36 30 28 26 76 2B 32 30 29 20 3D 20 2E 36 30 28 |60(&v+20) = .60(|
00001430: 32 30 2B 32 30 29 20 3D 20 2E 36 30 2A 34 30 20 |20+20) = .60*40 |
00001440: 3D 20 60 32 34 27 00 32 34 00 57 65 61 6B 20 61 |= `24'.24.Weak a|
00001450: 6E 64 20 50 75 72 65 20 73 6F 6C 75 74 69 6F 6E |nd Pure solution|
00001460: 73 00 40 66 48 6F 77 20 6D 61 6E 79 20 70 6F 75 |s.@fHow many pou|
00001470: 6E 64 73 20 6F 66 20 70 75 72 65 20 73 61 6C 74 |nds of pure salt|
00001480: 20 6D 75 73 74 20 62 65 20 61 64 64 65 64 20 74 | must be added t|
00001490: 6F 20 74 68 65 20 34 30 20 70 6F 75 6E 64 73 20 |o the 40 pounds |
000014A0: 6F 66 20 61 20 35 25 20 73 61 6C 74 20 73 6F 6C |of a 5% salt sol|
000014B0: 75 74 69 6F 6E 20 69 6E 20 6F 72 64 65 72 20 74 |ution in order t|
000014C0: 6F 20 63 72 65 61 74 65 20 61 20 32 34 25 20 73 |o create a 24% s|
000014D0: 61 6C 74 20 73 6F 6C 75 74 69 6F 6E 00 57 65 61 |alt solution.Wea|
000014E0: 6B 00 50 75 72 65 00 6C 62 73 20 6F 66 20 73 6F |k.Pure.lbs of so|
000014F0: 6C 2E 00 6C 62 73 20 6F 66 20 73 61 6C 74 00 26 |l..lbs of salt.&|
00001500: 71 34 30 20 70 6F 75 6E 64 73 20 6F 66 20 61 20 |q40 pounds of a |
00001510: 35 25 20 73 61 6C 74 20 73 6F 6C 75 74 69 6F 6E |5% salt solution|
00001520: 26 71 00 48 6F 77 20 6D 61 6E 79 20 70 6F 75 6E |&q.How many poun|
00001530: 64 73 20 6F 66 20 50 75 72 65 20 73 61 6C 74 20 |ds of Pure salt |
00001540: 6D 75 73 74 20 62 65 20 61 64 64 65 64 00 70 6F |must be added.po|
00001550: 75 6E 64 20 6F 66 20 74 68 65 20 57 65 61 6B 20 |und of the Weak |
00001560: 73 61 6C 74 20 73 6F 6C 75 74 69 6F 6E 00 70 6F |salt solution.po|
00001570: 75 6E 64 20 6F 66 20 74 68 65 20 57 65 61 6B 20 |und of the Weak |
00001580: 73 61 6C 74 20 73 6F 6C 75 74 69 6F 6E 20 69 73 |salt solution is|
00001590: 20 60 2E 30 35 27 20 70 6F 75 6E 64 73 00 2E 30 | `.05' pounds..0|
000015A0: 35 00 2E 30 35 00 70 6F 75 6E 64 00 50 75 72 65 |5..05.pound.Pure|
000015B0: 20 73 61 6C 74 20 73 6F 6C 75 74 69 6F 6E 00 70 | salt solution.p|
000015C0: 6F 75 6E 64 20 6F 66 20 74 68 65 20 50 75 72 65 |ound of the Pure|
000015D0: 20 73 61 6C 74 20 73 6F 6C 75 74 69 6F 6E 20 69 | salt solution i|
000015E0: 73 20 27 31 27 70 6F 75 6E 64 00 31 00 31 00 70 |s '1'pound.1.1.p|
000015F0: 6F 75 6E 64 00 70 6F 75 6E 64 00 60 2E 32 34 27 |ound.pound.`.24'|
00001600: 20 70 6F 75 6E 64 73 00 2E 32 34 00 54 68 65 72 | pounds..24.Ther|
00001610: 65 20 61 72 65 20 26 68 34 30 20 70 6F 75 6E 64 |e are &h40 pound|
00001620: 73 20 6F 66 20 61 20 35 25 20 73 61 6C 74 20 73 |s of a 5% salt s|
00001630: 6F 6C 75 74 69 6F 6E 26 68 00 70 6F 75 6E 64 73 |olution&h.pounds|
00001640: 20 6F 66 20 35 25 20 73 61 6C 74 20 73 6F 6C 75 | of 5% salt solu|
00001650: 74 69 6F 6E 20 65 71 75 61 6C 73 20 60 34 30 27 |tion equals `40'|
00001660: 00 39 00 34 30 00 50 75 72 65 20 73 61 6C 74 00 |.9.40.Pure salt.|
00001670: 70 6F 75 6E 64 73 20 6F 66 20 50 75 72 65 20 73 |pounds of Pure s|
00001680: 61 6C 74 00 60 70 27 20 74 6F 20 72 65 70 72 65 |alt.`p' to repre|
00001690: 73 65 6E 74 20 74 68 65 20 6E 75 6D 62 65 72 20 |sent the number |
000016A0: 6F 66 20 70 6F 75 6E 64 73 20 6F 66 20 50 75 72 |of pounds of Pur|
000016B0: 65 20 73 61 6C 74 00 31 30 00 70 6F 75 6E 64 73 |e salt.10.pounds|
000016C0: 00 74 68 65 20 6E 75 6D 62 65 72 20 6F 66 20 70 |.the number of p|
000016D0: 6F 75 6E 64 73 20 6F 66 20 50 75 72 65 20 73 61 |ounds of Pure sa|
000016E0: 6C 74 00 57 65 61 6B 20 61 6E 64 20 50 75 72 65 |lt.Weak and Pure|
000016F0: 20 73 61 6C 74 20 73 6F 6C 75 74 69 6F 6E 73 00 | salt solutions.|
00001700: 60 26 76 2B 34 30 27 20 70 6F 75 6E 64 73 00 26 |`&v+40' pounds.&|
00001710: 76 2B 34 30 00 73 61 6C 74 20 28 69 6E 20 70 6F |v+40.salt (in po|
00001720: 75 6E 64 73 29 00 70 6F 75 6E 64 73 20 6F 66 20 |unds).pounds of |
00001730: 57 65 61 6B 20 73 6F 6C 75 74 69 6F 6E 00 6C 62 |Weak solution.lb|
00001740: 00 6C 62 73 00 57 65 61 6B 00 2E 30 35 00 34 30 |.lbs.Weak..05.40|
00001750: 00 57 65 61 6B 00 2E 30 35 2A 34 30 00 70 6F 75 |.Weak..05*40.pou|
00001760: 6E 64 73 20 6F 66 20 50 75 72 65 20 73 61 6C 74 |nds of Pure salt|
00001770: 20 73 6F 6C 75 74 69 6F 6E 00 6C 62 00 6C 62 73 | solution.lb.lbs|
00001780: 00 50 75 72 65 00 31 00 26 76 00 50 75 72 65 00 |.Pure.1.&v.Pure.|
00001790: 31 2A 26 76 00 70 6F 75 6E 64 73 20 6F 66 20 73 |1*&v.pounds of s|
000017A0: 74 72 6F 6E 67 65 72 20 73 61 6C 74 20 73 6F 6C |tronger salt sol|
000017B0: 75 74 69 6F 6E 00 6C 62 00 6C 62 73 00 73 61 6C |ution.lb.lbs.sal|
000017C0: 74 00 2E 32 34 00 26 76 2B 34 30 00 73 61 6C 74 |t..24.&v+40.salt|
000017D0: 00 2E 32 34 2A 28 26 76 2B 34 30 29 00 57 65 61 |..24*(&v+40).Wea|
000017E0: 6B 20 61 6E 64 20 50 75 72 65 20 73 6F 6C 75 74 |k and Pure solut|
000017F0: 69 6F 6E 73 00 57 65 61 6B 20 73 61 6C 74 20 61 |ions.Weak salt a|
00001800: 6D 74 00 50 75 72 65 20 73 61 6C 74 20 61 6D 74 |mt.Pure salt amt|
00001810: 00 60 32 2B 26 76 20 3D 20 2E 32 34 28 26 76 2B |.`2+&v = .24(&v+|
00001820: 34 30 29 27 00 32 2B 26 76 3D 2E 32 34 28 26 76 |40)'.2+&v=.24(&v|
00001830: 2B 34 30 29 00 74 68 65 20 23 20 6F 66 20 70 6F |+40).the # of po|
00001840: 75 6E 64 73 20 6F 66 20 50 75 72 65 20 73 61 6C |unds of Pure sal|
00001850: 74 00 31 30 00 48 6F 77 20 6D 61 6E 79 20 70 6F |t.10.How many po|
00001860: 75 6E 64 73 20 6F 66 20 50 75 72 65 20 73 61 6C |unds of Pure sal|
00001870: 74 20 6D 75 73 74 20 62 65 20 61 64 64 65 64 00 |t must be added.|
00001880: 70 6F 75 6E 64 73 20 6F 66 20 50 75 72 65 20 73 |pounds of Pure s|
00001890: 61 6C 74 00 31 30 00 31 30 00 31 30 00 70 6F 75 |alt.10.10.10.pou|
000018A0: 6E 64 73 20 6F 66 20 32 34 25 20 73 6F 6C 75 74 |nds of 24% solut|
000018B0: 69 6F 6E 00 26 76 2B 34 30 00 26 76 2B 34 30 20 |ion.&v+40.&v+40 |
000018C0: 3D 20 31 30 2B 34 30 20 3D 20 60 35 30 27 2E 20 |= 10+40 = `50'. |
000018D0: 54 68 65 72 65 20 61 72 65 20 35 30 20 70 6F 75 |There are 50 pou|
000018E0: 6E 64 73 20 6F 66 20 32 34 25 20 73 6F 6C 75 74 |nds of 24% solut|
000018F0: 69 6F 6E 00 35 30 00 73 61 6C 74 20 69 6E 20 74 |ion.50.salt in t|
00001900: 68 65 20 50 75 72 65 20 73 6F 6C 75 74 69 6F 6E |he Pure solution|
00001910: 00 60 26 76 20 3D 20 31 30 27 00 31 34 00 31 30 |.`&v = 10'.14.10|
00001920: 00 61 6D 6F 75 6E 74 20 6F 66 20 73 61 6C 74 00 |.amount of salt.|
00001930: 2E 32 34 28 26 76 2B 34 30 29 3D 2E 32 34 28 31 |.24(&v+40)=.24(1|
00001940: 30 2B 34 30 29 3D 20 60 31 32 27 2E 20 54 68 65 |0+40)= `12'. The|
00001950: 72 65 20 61 72 65 20 31 32 20 70 6F 75 6E 64 73 |re are 12 pounds|
00001960: 20 6F 66 20 73 61 6C 74 20 69 6E 20 74 68 65 20 | of salt in the |
00001970: 6D 69 78 74 75 72 65 00 31 32 00 74 68 65 20 57 |mixture.12.the W|
00001980: 65 61 6B 20 61 6E 64 20 50 75 72 65 20 73 6F 6C |eak and Pure sol|
00001990: 75 74 69 6F 6E 73 00 7C 33 |utions.|3 |
A@Q{}?@DG09&C(1,{})&C(2,{})&C(3,MIX)&D(
4,UNIT STRNGTH)&D(8,{})&D(12,{})@RREAD@P
READ THE WHOLE PROBLEM. THINK: WHAT ARE
THE FACTS? WHAT IS BEING ASKED? (PRESS
ANY KEY TO CONTINUE.)@HWHAT ARE THE FACT
S? {}@HWHAT IS BEING ASKED? &H{}&H?@I(0)
@RDATA ENTRY@PFILL IN THE GRID -- START
WITH THE STRENGTHS PER UNIT.@HWHAT IS TH
E STRENGTH PER {}?@HTHE STRENGTH PER {}.
@I(5,I,{})&D(5,{})@HWHAT IS THE STRENGTH
PER {} OF THE {}?@HTHE STRENGTH PER {}.
@I(6,I,{})&D(6,{})@HWHAT IS THE STRENGTH
PER {} OF THE MIX?@HTHE STRENGTH PER {}
OF THE MIX IS {}.@I(7,I,{})@PENTER THE
FACTS FROM THE PROBLEM INTO THE GRID.@H{
}.@HTHE NUMBER OF {}.@I({},I,{})@PREPRES
ENT THE AMOUNT OF {} TO BE ADDED.@HCHOOS
E A VARIABLE TO REPRESENT THE NUMBER OF
{}.@HUSE ANY LETTER, SUCH AS {}.@I({},I,
&V)@PREPRESENT THE # OF {} IN THE MIXTUR
E IN TERMS OF "&V" ({}).@HTHE SUM OF THE
QUANTITIES OF THE {} WILL EQUAL THE QUA
NTITY OF THE MIXTURE.@HTHERE ARE {} IN T
HE MIXTURE.@I(11,I,{})@RPARTS@PWRITE AN
EXPRESSION TO REPRESENT THE AMOUNT OF {}
CONTAINED IN EACH SOLUTION.@HMULTIPLY T
HE STRENGTH/UNIT BY THE # OF {}.@HSTRENG
TH/{} \F13* # OF {} \F24= UNITS OF {} \
N `{} \F13* {}' \F24= UNITS
OF {}@I(13,I,{})@HMULTIPLY THE STRENGTH/
UNIT BY THE # OF {}.@HSTRENGTH/{} \F13*
# OF {} \F24= UNITS OF {} \N `{}
\F13* {}' \F24= UNITS OF {}@I(14,I
,{})@HMULTIPLY THE STRENGTH/UNIT BY THE
# OF {}.@HSTRENGTH/{}\F13* # OF {} \F24=
UNITS OF {} \N `{} \F13* ({})' \F2
4= UNITS OF {}@I(15,I,{}) @RWHOLE@PUSE
THE GRID TO WRITE AN EQUATION TO RELATE
THE PARTS ({}) TO THE WHOLE (MIX).@H{} +
({} AMT) = TOTAL AMT@H{}@I(16,I,{})@S@R
COMPUTE@PSOLVE THE EQUATION FOR "&V" ({}
). USE PENCIL AND PAPER, OR USE THE CALC
ULATOR.@HISOLATE "&V" ON ONE SIDE OF THE
EQUATION.@HTHE CALCULATOR SOLVES EQUATI
ONS FOR YOU AND DISPLAYS THE STEPS IN TH
E SOLUTION.@I(16,I,&V={})@PNOW FILL IN T
HE ANSWER(S) TO THE PROBLEM. REMEMBER TH
E QUESTION. &Q{}?&Q&W(16)@HTHE NUMBER OF
{} IS THE VALUE OF "&V".@H&V = `{}'@I({
},I,{}) @S@RCHECK@PREREAD THE PROBLEM. C
HECK YOUR ANSWERS. REPLACE ALL VARIABLES
IN THE GRID.@HTHE NUMBER OF {} IS THE V
ALUE OF {}.@H{}.@I(11,I,{})@HSUBSTITUTE
FOR "&V" IN THE EXPRESSION FOR THE AMOUN
T OF {}.@H{}@I({},I,{})@HSUBSTITUTE FOR
"&V" IN THE EXPRESSION FOR THE {} IN THE
MIXTURE.@H{}.@I(15,I,{})&D(0,MAKE SURE
THE SUM OF {} EQUALS THE TOTAL AMOUNT IN
THE MIXTURE. ON TO A NEW PROBLEM.)@FA C
AR'S RADIATOR SHOULD CONTAIN 25% ANTIFRE
EZE AND 75% WATER. WHEN TOM CHECKED, THE
5 GALLONS OF SOLUTION IN HIS RADIATOR W
AS ONLY 10% ANTIFREEZE. HOW MUCH ANTIFRE
EZE MUST BE ADDED.WEAK.PURE.GALS OF SOL.
GALS OF A.F.&QSHOULD CONTAIN 25% ANTIFRE
EZE&Q &Q5 GALLONS OF SOLUTION&Q &QWAS ON
LY 10% ANTIFREEZE&Q.HOW MUCH ANTIFREEZE
MUST BE ADDED.GALLON OF THE WEAK ANTIFRE
EZE SOLUTION.GALLON OF THE WEAK ANTIFREE
ZE SOLUTION IS `.10' GALLONS..10..10.GAL
LON.PURE ANTIFREEZE SOLUTION.GALLON OF T
HE PURE ANTIFREEZE SOLUTION IS `1' GALLO
N.1.1.GALLON.GALLON..25 GALLONS..25.THE
5 GALLONS OF SOLUTION IN HIS RADIATOR ON
LY CONTAIN 10% ANTIFREEZE.GALLONS OF 10%
ANTIFREEZE IS `5'.9.5.PURE ANTIFREEZE.G
ALLONS OF PURE ANTIFREEZE.`P' TO REPRESE
NT THE NUMBER OF GALLONS OF PURE ANTIFRE
EZE.10.GALLONS.THE # OF GALLONS OF PURE
ANTIFREEZE.10% AND THE PURE ANTIFREEZE S
OLUTIONS.`&V+5' GALLONS.&V+5.ANTIFREEZE.
GALLONS OF WEAK ANTIFREEZE.GL.GLS.WEAK..
10.5.WEAK..10*5.GALLONS OF PURE ANTIFREE
ZE.GL.GLS.PURE.1.&V.PURE.1*&V.GALLONS OF
PURE SOLUTION.GL.GLS.A.F...25.&V+5.A.F.
..25*(&V+5).WEAK AND PURE SOLUTIONS.WEAK
AMT.PURE AMT.`.5+&V = .25(&V+5)'..5+&V
= .25(&V+5).THE # OF GALLONS OF PURE.1.H
OW MUCH ANTIFREEZE MUST BE ADDED.GALLONS
OF PURE ANTIFREEZE.1.10.1.GALLONS OF 25
% SOLUTION.`&V+5'.&V+5 = 1+5 = `6'. THER
E ARE 6 GALLONS OF 25% SOLUTION.6.ANTIFR
EEZE IN THE PURE SOLUTION.&V = `1'.14.1.
AMOUNT OF ANTIFREEZE..25(&V+5) = .25(1+5
) = `1.5'. THERE ARE 1.5 GALLONS OF ANTI
FREEZE.1.5.WEAK AND PURE SOLUTIONS.@FBRA
SS IS FORMED BY COMBINING MELTED COPPER(
CU.) AND MELTED NICKEL. HOW MUCH COPPER
WOULD NEED TO BE ADDED TO 20 POUNDS OF B
RASS THAT IS 20% COPPER TO CREATE A BRAS
S THAT IS 60% COPPER.WEAK.PURE.LBS OF BR
ASS.LBS OF CU..&Q20 POUNDS OF BRASS THAT
IS 20% COPPER&Q.HOW MUCH COPPER WOULD N
EED TO BE ADDED&H.POUND OF THE WEAK COPP
ER SOLUTION.POUND OF THE WEAK COPPER SOL
UTION IS `.20' POUNDS..20..20.POUND.PURE
COPPER SOLUTION.POUND OF THE PURE COPPE
R SOLUTION IS `1' POUND.1.1.POUND.POUND.
`.60' POUNDS..60.THERE ARE &H20 POUNDS O
F BRASS THAT IS 20% COPPER.POUNDS OF BRA
SS IS `20'.9.20.PURE COPPER.POUNDS OF PU
RE COPPER.`P' TO REPRESENT THE NUMBER OF
POUNDS OF PURE COPPER.10.POUNDS.THE # O
F POUNDS OF PURE COPPER.20% AND THE PURE
COPPER SOLUTIONS.`&V+20' POUNDS.&V+20.C
OPPER.POUNDS OF WEAK SOLUTION.LB.LBS.WEA
K..20.20.WEAK..20*20.POUNDS OF PURE SOLU
TION.LB.LBS.PURE.1.&V.PURE.1*&V.POUNDS O
F STRONGER COPPER SOLUTION.LB.LBS.CU...6
0.&V+20.CU...60*(&V+20).WEAK AND PURE SO
LUTIONS.WEAK AMT.PURE AMT.`4+&V = .6(&V+
20)'.4+&V=.6(&V+20).THE # OF POUNDS OF P
URE COPPER.20.HOW MUCH COPPER WOULD BE N
EEDED TO CREATE A BRASS THAT IS 60% COPP
ER.POUNDS OF PURE COPPER.20.10.20.POUNDS
OF 60% SOLUTION.`&V+20'.&V+20 = 20+20 =
`40'. THERE ARE 40 POUNDS OF 60% CU. SO
LUTION.40.COPPER IN THE PURE SOLUTION.&V
= `20'.14.20.AMOUNT OF COPPER..60(&V+20
) = .60(20+20) = .60*40 = `24'.24.WEAK A
ND PURE SOLUTIONS.@FHOW MANY POUNDS OF P
URE SALT MUST BE ADDED TO THE 40 POUNDS
OF A 5% SALT SOLUTION IN ORDER TO CREATE
A 24% SALT SOLUTION.WEAK.PURE.LBS OF SO
L..LBS OF SALT.&Q40 POUNDS OF A 5% SALT
SOLUTION&Q.HOW MANY POUNDS OF PURE SALT
MUST BE ADDED.POUND OF THE WEAK SALT SOL
UTION.POUND OF THE WEAK SALT SOLUTION IS
`.05' POUNDS..05..05.POUND.PURE SALT SO
LUTION.POUND OF THE PURE SALT SOLUTION I
S '1'POUND.1.1.POUND.POUND.`.24' POUNDS.
.24.THERE ARE &H40 POUNDS OF A 5% SALT S
OLUTION&H.POUNDS OF 5% SALT SOLUTION EQU
ALS `40'.9.40.PURE SALT.POUNDS OF PURE S
ALT.`P' TO REPRESENT THE NUMBER OF POUND
S OF PURE SALT.10.POUNDS.THE NUMBER OF P
OUNDS OF PURE SALT.WEAK AND PURE SALT SO
LUTIONS.`&V+40' POUNDS.&V+40.SALT (IN PO
UNDS).POUNDS OF WEAK SOLUTION.LB.LBS.WEA
K..05.40.WEAK..05*40.POUNDS OF PURE SALT
SOLUTION.LB.LBS.PURE.1.&V.PURE.1*&V.POU
NDS OF STRONGER SALT SOLUTION.LB.LBS.SAL
T..24.&V+40.SALT..24*(&V+40).WEAK AND PU
RE SOLUTIONS.WEAK SALT AMT.PURE SALT AMT
.`2+&V = .24(&V+40)'.2+&V=.24(&V+40).THE
# OF POUNDS OF PURE SALT.10.HOW MANY PO
UNDS OF PURE SALT MUST BE ADDED.POUNDS O
F PURE SALT.10.10.10.POUNDS OF 24% SOLUT
ION.&V+40.&V+40 = 10+40 = `50'. THERE AR
E 50 POUNDS OF 24% SOLUTION.50.SALT IN T
HE PURE SOLUTION.`&V = 10'.14.10.AMOUNT
OF SALT..24(&V+40)=.24(10+40)= `12'. THE
RE ARE 12 POUNDS OF SALT IN THE MIXTURE.
12.THE WEAK AND PURE SOLUTIONS.|3
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