Why Is a Plowed Field Like Feathered Game?
It is part ridges
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8 kg cashews
12 kg pecans
100 kg coffee A
50 kg coffee B
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7 kg pork
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250 kg bluegrass
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16 embossed cards
9 regular cards
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1 kg $6.00 candy
2 kg $4.50 candy
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2 kg raisins
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Mixture Problems
Objective: To solve mixture
problems.
Standard 5.0
Mixture Problems Notes Paper
1) How much water was added to 12 L of a 35% boric acid
solution to produce a solution that was 20% boric acid?
amount
water
solution
Mixture
x
12
X + 12
∙
% acid
= total value
0
.35
.20
0
.35(12)
.20(x + 12)
.35(12) + 0 = .20(x + 12)
4.2 = .20x + 2.4
1.8 = .2x
9=x
9 L water
Multiply across
Add down
Mixture Problems Notes Paper
2) Milk with 3% butterfat was mixed with cream with 27%
butterfat to produce 36 L of half-and-half with 11%
butterfat content. How much of each was used?
amount
milk
cream
Mixture
x
36-x
36
∙
% bf
.03
.27
.11
.03x + .27(36 – x) = .11(36)
.03x + 9.72 – .27x = 3.96
-.24x + 9.72 = 3.96
-.24x = -5.76
= total value
.03x
.27(36-x)
Multiply across
.11(36)
x = 24 L (3%)
12 L (27%)
Add down
Mixture Problems Notes Paper
3) How much water was added to 3 L of a 27% boric acid
solution to produce a solution that was 18% boric acid?
This is like problem #1
amount
water
solution
Mixture
∙
% acid
= total value
0
.27
.18
0
.27(3)
X
3
x+3
.18(x + 3)
0 + .27(3) = .18(x + 3)
.81 = .18x + .54
.27 = .18x
1.5 = x
1.5 L water
Multiply across
Add down
Mixture Problems Notes Paper
4) A radiator contains 6 L of a 48% antifreeze mixture. How
much pure antifreeze should be added to make a mixture
that is 74% antifreeze?
amount
pure anti
48% anti
Mixture
X
6
x+6
∙
% af
1.00
.48
.74
= total value
X
.48(6)
.74(x + 6)
Multiply across
Add down
x + .48(6) = .74x + 4.44
x + 2.88 = .74x + 4.44
.26x + 2.88 = 4.44
.26x = 1.56
6 L pure antifreeze
Homework
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Mixture problems (6 problems)
Show all of your work receive full credit!