MIXT2L3
FILE INFORMATION
FILENAME(S): MIXT2L3
FILE TYPE(S): PRG
FILE SIZE: 5.2K
FIRST SEEN: 2025-10-19 22:48:55
APPEARS ON: 1 disk(s)
FILE HASH
36c6b2e74a4f23a5ecff829e2af5e180ba8ad416c7952c516a433a8694b61475
FOUND ON DISKS (1 DISKS)
| DISK TITLE | FILENAME | FILE TYPE | COLLECTION | TRACK | SECTOR | ACTIONS |
|---|---|---|---|---|---|---|
| HHM 100785 44S1 | MIXT2L3 | PRG | Radd Maxx | 29 | 4 | DOWNLOAD FILE |
FILE CONTENT & ANALYSIS
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00000D30: 20 20 60 2E 38 20 20 20 20 20 20 5C 66 31 32 2B | `.8 \f12+|
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00000E50: 2A 34 20 3D 20 60 31 27 2E 20 54 68 65 72 65 20 |*4 = `1'. There |
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00000EB0: 28 34 2B 38 29 20 3D 20 2E 31 35 2A 31 32 20 3D |(4+8) = .15*12 =|
00000EC0: 20 31 2E 38 2E 20 54 68 65 72 65 20 61 72 65 20 | 1.8. There are |
00000ED0: 60 31 2E 38 27 20 71 75 61 72 74 73 20 6F 66 20 |`1.8' quarts of |
00000EE0: 61 63 69 64 20 69 6E 20 74 68 65 20 6D 69 78 00 |acid in the mix.|
00000EF0: 31 2E 38 00 57 65 61 6B 20 61 6E 64 20 53 74 72 |1.8.Weak and Str|
00000F00: 6F 6E 67 20 73 6F 6C 75 74 69 6F 6E 73 00 40 66 |ong solutions.@f|
00000F10: 48 6F 77 20 6D 61 6E 79 20 70 6F 75 6E 64 73 20 |How many pounds |
00000F20: 6F 66 20 61 20 34 30 25 20 70 75 72 65 20 61 63 |of a 40% pure ac|
00000F30: 69 64 20 73 6F 6C 75 74 69 6F 6E 20 6D 75 73 74 |id solution must|
00000F40: 20 62 65 20 6D 69 78 65 64 20 77 69 74 68 20 31 | be mixed with 1|
00000F50: 30 20 70 6F 75 6E 64 73 20 6F 66 20 61 20 73 6F |0 pounds of a so|
00000F60: 6C 75 74 69 6F 6E 20 74 68 61 74 20 69 73 20 34 |lution that is 4|
00000F70: 38 25 20 70 75 72 65 20 61 63 69 64 20 74 6F 20 |8% pure acid to |
00000F80: 63 72 65 61 74 65 20 61 20 34 35 25 20 61 63 69 |create a 45% aci|
00000F90: 64 20 73 6F 6C 75 74 69 6F 6E 00 57 65 61 6B 00 |d solution.Weak.|
00000FA0: 53 74 72 6F 6E 67 00 6C 62 73 20 6F 66 20 73 6F |Strong.lbs of so|
00000FB0: 6C 2E 00 6C 62 73 20 6F 66 20 61 63 69 64 00 26 |l..lbs of acid.&|
00000FC0: 71 34 30 25 20 70 75 72 65 20 61 63 69 64 20 73 |q40% pure acid s|
00000FD0: 6F 6C 75 74 69 6F 6E 26 71 20 26 71 6D 69 78 65 |olution&q &qmixe|
00000FE0: 64 20 77 69 74 68 20 31 30 20 70 6F 75 6E 64 73 |d with 10 pounds|
00000FF0: 20 6F 66 20 61 20 73 6F 6C 75 74 69 6F 6E 20 74 | of a solution t|
00001000: 68 61 74 20 69 73 20 34 38 25 20 70 75 72 65 26 |hat is 48% pure&|
00001010: 71 20 26 71 63 72 65 61 74 65 20 61 20 34 35 25 |q &qcreate a 45%|
00001020: 20 61 63 69 64 20 73 6F 6C 75 74 69 6F 6E 26 71 | acid solution&q|
00001030: 00 48 6F 77 20 6D 61 6E 79 20 70 6F 75 6E 64 73 |.How many pounds|
00001040: 20 6F 66 20 61 20 34 30 25 20 70 75 72 65 20 61 | of a 40% pure a|
00001050: 63 69 64 20 73 6F 6C 75 74 69 6F 6E 00 70 6F 75 |cid solution.pou|
00001060: 6E 64 20 6F 66 20 74 68 65 20 57 65 61 6B 20 73 |nd of the Weak s|
00001070: 6F 6C 75 74 69 6F 6E 00 70 6F 75 6E 64 20 6F 66 |olution.pound of|
00001080: 20 74 68 65 20 57 65 61 6B 20 73 6F 6C 75 74 69 | the Weak soluti|
00001090: 6F 6E 20 69 73 20 60 2E 34 27 20 70 6F 75 6E 64 |on is `.4' pound|
000010A0: 73 00 2E 34 00 2E 34 00 70 6F 75 6E 64 00 53 74 |s..4..4.pound.St|
000010B0: 72 6F 6E 67 20 73 6F 6C 75 74 69 6F 6E 00 70 6F |rong solution.po|
000010C0: 75 6E 64 20 6F 66 20 74 68 65 20 53 74 72 6F 6E |und of the Stron|
000010D0: 67 20 73 6F 6C 75 74 69 6F 6E 20 69 73 20 60 2E |g solution is `.|
000010E0: 34 38 27 20 70 6F 75 6E 64 73 00 2E 34 38 00 2E |48' pounds..48..|
000010F0: 34 38 00 70 6F 75 6E 64 00 70 6F 75 6E 64 00 2E |48.pound.pound..|
00001100: 34 35 00 2E 34 35 00 54 68 65 72 65 20 61 72 65 |45..45.There are|
00001110: 20 26 68 31 30 20 70 6F 75 6E 64 73 20 6F 66 20 | &h10 pounds of |
00001120: 61 20 73 6F 6C 75 74 69 6F 6E 20 74 68 61 74 20 |a solution that |
00001130: 69 73 20 34 38 25 20 70 75 72 65 20 61 63 69 64 |is 48% pure acid|
00001140: 26 68 00 70 6F 75 6E 64 73 20 6F 66 20 34 38 25 |&h.pounds of 48%|
00001150: 20 61 63 69 64 20 73 6F 6C 75 74 69 6F 6E 20 28 | acid solution (|
00001160: 53 74 72 6F 6E 67 29 20 69 73 20 60 31 30 27 00 |Strong) is `10'.|
00001170: 31 30 00 31 30 00 57 65 61 6B 20 73 6F 6C 75 74 |10.10.Weak solut|
00001180: 69 6F 6E 00 70 6F 75 6E 64 73 20 6F 66 20 57 65 |ion.pounds of We|
00001190: 61 6B 20 73 6F 6C 75 74 69 6F 6E 00 60 77 27 20 |ak solution.`w' |
000011A0: 74 6F 20 72 65 70 72 65 73 65 6E 74 20 74 68 65 |to represent the|
000011B0: 20 6E 75 6D 62 65 72 20 6F 66 20 70 6F 75 6E 64 | number of pound|
000011C0: 73 20 6F 66 20 57 65 61 6B 20 73 6F 6C 75 74 69 |s of Weak soluti|
000011D0: 6F 6E 00 39 00 70 6F 75 6E 64 73 00 74 68 65 20 |on.9.pounds.the |
000011E0: 23 20 6F 66 20 70 6F 75 6E 64 73 20 6F 66 20 57 |# of pounds of W|
000011F0: 65 61 6B 20 73 6F 6C 75 74 69 6F 6E 00 57 65 61 |eak solution.Wea|
00001200: 6B 20 61 6E 64 20 53 74 72 6F 6E 67 20 61 63 69 |k and Strong aci|
00001210: 64 20 73 6F 6C 75 74 69 6F 6E 73 00 60 26 76 2B |d solutions.`&v+|
00001220: 31 30 27 00 26 76 2B 31 30 00 61 63 69 64 00 70 |10'.&v+10.acid.p|
00001230: 6F 75 6E 64 73 20 6F 66 20 57 65 61 6B 20 73 6F |ounds of Weak so|
00001240: 6C 75 74 69 6F 6E 00 6C 62 00 6C 62 73 00 57 65 |lution.lb.lbs.We|
00001250: 61 6B 00 2E 34 00 26 76 00 57 65 61 6B 00 2E 34 |ak..4.&v.Weak..4|
00001260: 2A 26 76 00 70 6F 75 6E 64 73 20 6F 66 20 53 74 |*&v.pounds of St|
00001270: 72 6F 6E 67 20 73 6F 6C 75 74 69 6F 6E 00 6C 62 |rong solution.lb|
00001280: 00 6C 62 73 00 53 74 72 6F 6E 67 00 2E 34 38 00 |.lbs.Strong..48.|
00001290: 31 30 00 53 74 72 6F 6E 67 00 2E 34 38 2A 31 30 |10.Strong..48*10|
000012A0: 00 70 6F 75 6E 64 73 20 69 6E 20 74 68 65 20 6D |.pounds in the m|
000012B0: 69 78 00 6C 62 00 6C 62 73 00 61 63 69 64 00 2E |ix.lb.lbs.acid..|
000012C0: 34 35 00 26 76 2B 31 30 00 61 63 69 64 00 2E 34 |45.&v+10.acid..4|
000012D0: 35 28 26 76 2B 31 30 29 00 57 65 61 6B 20 61 6E |5(&v+10).Weak an|
000012E0: 64 20 53 74 72 6F 6E 67 20 73 6F 6C 75 74 69 6F |d Strong solutio|
000012F0: 6E 73 00 57 65 61 6B 20 61 6D 74 00 53 74 72 6F |ns.Weak amt.Stro|
00001300: 6E 67 00 60 2E 34 2A 26 76 20 2B 20 34 2E 38 20 |ng.`.4*&v + 4.8 |
00001310: 3D 20 2E 34 35 28 26 76 2B 31 30 29 27 00 2E 34 |= .45(&v+10)'..4|
00001320: 26 76 2B 34 2E 38 20 3D 20 2E 34 35 28 26 76 2B |&v+4.8 = .45(&v+|
00001330: 31 30 29 00 74 68 65 20 23 20 6F 66 20 70 6F 75 |10).the # of pou|
00001340: 6E 64 73 20 6F 66 20 57 65 61 6B 20 73 6F 6C 00 |nds of Weak sol.|
00001350: 36 00 48 6F 77 20 6D 61 6E 79 20 70 6F 75 6E 64 |6.How many pound|
00001360: 73 20 6F 66 20 61 20 34 30 25 20 70 75 72 65 20 |s of a 40% pure |
00001370: 61 63 69 64 20 73 6F 6C 75 74 69 6F 6E 20 6D 75 |acid solution mu|
00001380: 73 74 20 62 65 20 6D 69 78 65 64 00 70 6F 75 6E |st be mixed.poun|
00001390: 64 73 20 6F 66 20 57 65 61 6B 20 73 6F 6C 75 74 |ds of Weak solut|
000013A0: 69 6F 6E 00 36 00 39 00 36 00 70 6F 75 6E 64 73 |ion.6.9.6.pounds|
000013B0: 20 69 6E 20 74 68 65 20 6D 69 78 00 60 26 76 2B | in the mix.`&v+|
000013C0: 31 30 27 00 26 76 2B 31 30 20 3D 20 36 2B 31 30 |10'.&v+10 = 6+10|
000013D0: 20 3D 20 60 31 36 27 2E 20 54 68 65 72 65 20 61 | = `16'. There a|
000013E0: 72 65 20 31 36 20 70 6F 75 6E 64 73 20 69 6E 20 |re 16 pounds in |
000013F0: 74 68 65 20 6D 69 78 00 31 36 00 61 63 69 64 20 |the mix.16.acid |
00001400: 69 6E 20 74 68 65 20 57 65 61 6B 20 73 6F 6C 75 |in the Weak solu|
00001410: 74 69 6F 6E 00 2E 34 2A 26 76 20 3D 20 2E 34 2A |tion..4*&v = .4*|
00001420: 36 20 3D 20 60 32 2E 34 27 2E 20 54 68 65 72 65 |6 = `2.4'. There|
00001430: 20 61 72 65 20 32 2E 34 20 70 6F 75 6E 64 73 20 | are 2.4 pounds |
00001440: 6F 66 20 57 65 61 6B 20 61 63 69 64 2E 00 31 33 |of Weak acid..13|
00001450: 00 32 2E 34 00 61 63 69 64 00 2E 34 35 28 26 76 |.2.4.acid..45(&v|
00001460: 2B 31 30 29 20 3D 20 2E 34 35 28 36 2B 31 30 29 |+10) = .45(6+10)|
00001470: 20 3D 20 60 37 2E 32 27 2E 20 54 68 65 72 65 20 | = `7.2'. There |
00001480: 61 72 65 20 37 2E 32 20 70 6F 75 6E 64 73 20 6F |are 7.2 pounds o|
00001490: 66 20 61 63 69 64 00 37 2E 32 00 57 65 61 6B 20 |f acid.7.2.Weak |
000014A0: 61 6E 64 20 53 74 72 6F 6E 67 20 73 6F 6C 75 74 |and Strong solut|
000014B0: 69 6F 6E 73 00 7C 65 |ions.|e |
A@Q{}?@DG09&C(1,{})&C(2,{})&C(3,MIX)&D(
4,UNIT STREN)&D(8,{})&D(12,{})@RREAD@PRE
AD THE WHOLE PROBLEM. THINK: WHAT ARE TH
E FACTS? WHAT IS BEING ASKED? (PRESS AN
Y KEY TO CONTINUE.)@HWHAT ARE THE FACTS?
{}@HWHAT IS BEING ASKED? &H{}&H?@I(0)@R
DATA ENTRY@PFILL IN THE GRID -- START WI
TH THE STRENGTHS PER UNIT.@HWHAT IS THE
STRENGTH PER {}?@HTHE STRENGTH PER {}.@I
(5,I,{})&D(5,{})@HWHAT IS THE STRENGTH P
ER {} OF THE {}?@HTHE STRENGTH PER {}.@I
(6,I,{})&D(6,{})@HWHAT IS THE STRENGTH P
ER {} OF THE MIX?@HTHE STRENGTH PER {} O
F THE MIX IS {}.@I(7,I,{})@PENTER THE FA
CTS FROM THE PROBLEM INTO THE GRID.@H{}.
@HTHE NUMBER OF {}.@I({},I,{})@PREPRESEN
T THE AMOUNT OF {} TO BE ADDED.@HCHOOSE
A VARIABLE TO REPRESENT THE NUMBER OF {}
.@HUSE ANY LETTER, SUCH AS {}.@I({},I,&V
)@PREPRESENT THE # OF {} IN THE MIXTURE
IN TERMS OF "&V" ({}).@HTHE SUM OF THE Q
UANTITIES OF THE {} WILL EQUAL THE QUANT
ITY OF THE MIXTURE.@HTHERE ARE {} IN THE
MIXTURE.@I(11,I,{})@RPARTS@PWRITE AN EX
PRESSION TO REPRESENT THE AMOUNT OF {} C
ONTAINED IN EACH SOLUTION.@HMULTIPLY THE
STRENGTH/UNIT BY THE # OF {}.@HSTREN/{}
\F13* # OF {} \F22= UNITS OF {} \N `{
} \F13* {}' \F22= UNITS OF {}
@I(13,I,{})@HMULTIPLY THE STRENGTH/UNIT
BY THE # OF {}.@HSTREN/{} \F13* # OF {}
\F22= UNITS OF {} \N `{} \F13*
{}' \F22= UNITS OF {}@I(14,I,{})@HMU
LTIPLY THE STRENGTH/UNIT BY THE # OF {}.
@HSTREN/{}\F13* # OF {} \F22= UNITS OF {
} \N `{} \F13* ({})' \F22= 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@RCOMPUTE@PSO
LVE THE EQUATION FOR "&V" ({}). USE PENC
IL AND PAPER, OR USE THE CALCULATOR.@HIS
OLATE "&V" ON ONE SIDE OF THE EQUATION.@
HTHE CALCULATOR SOLVES EQUATIONS FOR YOU
AND DISPLAYS THE STEPS IN THE SOLUTION.
@I(16,I,&V={})@PNOW FILL IN THE ANSWER(S
) TO THE PROBLEM. REMEMBER THE QUESTION.
&Q{}?&Q&W(16)@HTHE NUMBER OF {} IS THE
VALUE OF "&V".@H&V = `{}'@I({},I,{}) @S@
RCHECK@PREREAD THE PROBLEM. CHECK YOUR A
NSWERS. REPLACE ALL VARIABLES IN THE GRI
D.@HTHE NUMBER OF {} IS THE VALUE OF {}.
@H{}.@I(11,I,{})@HSUBSTITUTE FOR "&V" IN
THE EXPRESSION FOR THE AMOUNT 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 MIXTUR
E. ON TO A NEW PROBLEM.)@FEIGHT QUARTS O
F A SOLUTION THAT IS 10% ACID IS TO BE M
IXED WITH A 25% ACID SOLUTION TO CREATE
A 15% ACID SOLUTION. HOW MANY QUARTS OF
THE 25% ACID WILL BE NEEDED.WEAK.STRONG.
QTS OF SOL..QTS OF PURE.&QEIGHT QUARTS O
F A SOLUTION THAT IS 10% ACID&Q &QMIXED
WITH A 25% ACID SOLUTION&Q &QCREATE A 15
% ACID SOLUTION&Q.HOW MANY QUARTS OF THE
25% ACID WILL BE NEEDED.QUART OF THE WE
AK SOLUTION.QUART OF THE WEAK SOLUTION I
S `.1'..1..1.QUART.STRONG SOLUTION.QUART
OF THE STRONG SOLUTION IS `.25'..25..25
.QUART.QUART.`.15'..15.THERE ARE &HEIGHT
QUARTS OF A SOLUTION THAT IS 10% PURE A
CID&H.QUARTS OF 10% ACID SOLUTION IS `8'
.9.8.STRONG SOLUTION.QUARTS OF STRONG SO
LUTION.`S', TO REPRESENT THE NUMBER OF Q
UARTS OF STRONG SOLUTION.10.QUARTS.THE #
OF QUARTS OF STRONG SOLUTION.WEAK AND S
TRONG ACID SOLUTIONS.`&V+8' QUARTS.&V+8.
ACID.QUARTS OF WEAK SOLUTION.QT.QTS.WEAK
..1.8.WEAK..1*8.QUARTS OF STRONG SOLUTIO
N.QT.QTS.STRONG..25.&V.STRONG..25*&V.QUA
RTS IN THE MIX.QT.QTS.MIX..15.&V+8.MIX..
15*(&V+8).STRONG AND WEAK SOLUTIONS.WEAK
AMT.STRONG AMT. `.8 \F12+ .25
&V \F27=.15(&V+8)'..8+.25&V=.15(&V+8).T
HE # OF QUARTS OF STRONG.4.HOW MANY QUAR
TS OF THE 25% ACID WILL BE NEEDED.QUARTS
OF STRONG SOLUTION.4.10.4.QUARTS IN THE
MIX.`&V+8'.&V+8 = 4+8 = `12'. THERE ARE
12 QUARTS IN THE MIX.12.ACID IN THE STR
ONG SOLUTION..25&V = .25*4 = `1'. THERE
IS ONE QUART OF ACID IN THE STRONG SOLUT
ION..14.1.AMOUNT OF ACID..15(&V+8) = .15
(4+8) = .15*12 = 1.8. THERE ARE `1.8' QU
ARTS OF ACID IN THE MIX.1.8.WEAK AND STR
ONG SOLUTIONS.@FHOW MANY POUNDS OF A 40%
PURE ACID SOLUTION MUST BE MIXED WITH 1
0 POUNDS OF A SOLUTION THAT IS 48% PURE
ACID TO CREATE A 45% ACID SOLUTION.WEAK.
STRONG.LBS OF SOL..LBS OF ACID.&Q40% PUR
E ACID SOLUTION&Q &QMIXED WITH 10 POUNDS
OF A SOLUTION THAT IS 48% PURE&Q &QCREA
TE A 45% ACID SOLUTION&Q.HOW MANY POUNDS
OF A 40% PURE ACID SOLUTION.POUND OF TH
E WEAK SOLUTION.POUND OF THE WEAK SOLUTI
ON IS `.4' POUNDS..4..4.POUND.STRONG SOL
UTION.POUND OF THE STRONG SOLUTION IS `.
48' POUNDS..48..48.POUND.POUND..45..45.T
HERE ARE &H10 POUNDS OF A SOLUTION THAT
IS 48% PURE ACID&H.POUNDS OF 48% ACID SO
LUTION (STRONG) IS `10'.10.10.WEAK SOLUT
ION.POUNDS OF WEAK SOLUTION.`W' TO REPRE
SENT THE NUMBER OF POUNDS OF WEAK SOLUTI
ON.9.POUNDS.THE # OF POUNDS OF WEAK SOLU
TION.WEAK AND STRONG ACID SOLUTIONS.`&V+
10'.&V+10.ACID.POUNDS OF WEAK SOLUTION.L
B.LBS.WEAK..4.&V.WEAK..4*&V.POUNDS OF ST
RONG SOLUTION.LB.LBS.STRONG..48.10.STRON
G..48*10.POUNDS IN THE MIX.LB.LBS.ACID..
45.&V+10.ACID..45(&V+10).WEAK AND STRONG
SOLUTIONS.WEAK AMT.STRONG.`.4*&V + 4.8
= .45(&V+10)'..4&V+4.8 = .45(&V+10).THE
# OF POUNDS OF WEAK SOL.6.HOW MANY POUND
S OF A 40% PURE ACID SOLUTION MUST BE MI
XED.POUNDS OF WEAK SOLUTION.6.9.6.POUNDS
IN THE MIX.`&V+10'.&V+10 = 6+10 = `16'.
THERE ARE 16 POUNDS IN THE MIX.16.ACID
IN THE WEAK SOLUTION..4*&V = .4*6 = `2.4
'. THERE ARE 2.4 POUNDS OF WEAK ACID..13
.2.4.ACID..45(&V+10) = .45(6+10) = `7.2'
. THERE ARE 7.2 POUNDS OF ACID.7.2.WEAK
AND STRONG SOLUTIONS.|E
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