Lesson 1.6: Solving Mixture Problems Answers

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1
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Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?

A
cup
Option A
B
cup
Option B
C
cup
Option C
D
cup
Option D
2
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The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh a total of 249 ounces.Which value could replace x in the table?

Question illustration
A
40 – h
B
50 – h
C
5(45) – h
D
5(45 – h)
3

A 4% peroxide solution is mixed with a 10% peroxide solution, resulting in 100 L of an 8% solution. The table shows the amount of each solution used in the mixture.

Question illustration
A
6
B
7
C
8
D
9
4

Brass is made from a mixture of copper and other elements. A mixture that is 80% copper is combined with a mixture that is 60% copper, resulting in 100 pounds of brass that is 65% copper.Which equation can be used to find x, the amount of 60% mixture used to create the 65% mixture?

A
0.8(100 – x) + 0.6x = 100(0.65)
B
0.6(100 – x) + 0.8x = 100(0.65)
C
0.8(100) + 0.6x = 0.65(100 - x)
D
0.6(x) + 0.8(100 + x) = 0.65
5

A snack cart sells lemonade for $2 and hot dogs for $5. The vendor sold 86 items today for a total of $330.

Question illustration
A
(86 – h)(h) = 86
B
(86 – h) + h = 86
C
(86 – h) + h = 2 + 5
D
[2(86 – h)](5h) = 330
6

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it.Which value could replace x in the table?

Question illustration
A
7 – m
B
23 – m
C
8(15 – m)
D
8(15) – m
7

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets.

Question illustration
A
r(10 – r) = 10
B
r + (10 – r) = 4 + 3
C
4r[3(10 – r)] = 37
D
4r + 3(10 – r) = 37
8

Maki uses 20 gallons of a solution with an unknown ethanol concentration and 60 gallons of a 12% ethanol solution to make 80 gallons of a 10% solution. The table shows the amount of each solution.What is the value of x, the concentration of the unknown ethanol solution?

Question illustration
A
0.02
B
0.04
C
0.05
D
0.08
9

A collection of 108 coins containing only quarters and nickels is worth $21.

Question illustration
A
21
B
108
C
21 – n
D
108 – n
10

Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment.Which equation can be used to solve for x, the total amount of paint in the mixture of the two colors?

A
0.15(40) + 0.6x = 0.25(40 + x)
B
0.15(40) + 0.6(x – 40) = 0.25(x)
C
0.15(40) + 0.6x = 0.25(40 – x)
D
0.15(40) + 0.6(x + 40) = 0.25(x)

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