Solving Mixture Problems

Question 1

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?

Revolt · Accepted Answer

0.15(40) + 0.6(x – 40) = 0.25(x)

Question 2

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

Revolt · Accepted Answer

(86 – h) + h = 86

Question 3

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?

Revolt · Accepted Answer

0.8(100 – x) + 0.6x = 100(0.65)

Question 4

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.

Revolt · Accepted Answer

4r + 3(10 – r) = 37

Question 5

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?

Revolt · Accepted Answer

cup

Question 6

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.

Revolt · Accepted Answer

8

Question 7

Giuliana has 22 quarters and dollar coins worth a total of $10.75.

Revolt · Accepted Answer

0.25(22 – d) + d = 10.75

Question 8

A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.

Revolt · Accepted Answer

(4 – g) 1.5

Question 9

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?

Revolt · Accepted Answer

0.04

Question 10

A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below.Which equation can be used to determine the amount of cherry juice in each mixture?

Revolt · Accepted Answer

5q + 3(8 – q) = 36

Solving Mixture Problems Answers

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