Solving Mixture Problems

Question 1

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

Revolt · Accepted Answer

108 – n

Question 2

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 3

A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a 30% acid solution. The table shows the amount of each solution used.What is the value of x, the acid concentration of the first solution?

Revolt · Accepted Answer

0.05

Question 4

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

Question 5

Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the amount of each solution used.What is the value of x?

Revolt · Accepted Answer

10

Question 6

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 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 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 9

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?

Revolt · Accepted Answer

8(15 – m)

Question 10

Dr. Bhatia mixes 2 liters of a 5% saline solution with x liters of a 9% saline solution. The table shows the amount of each solution used.

Revolt · Accepted Answer

6

Solving Mixture Problems Answers

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