Mixture Problems

A collection of 108 coins containing only quarters and nickels is worth $21. Which value could replace q on the chart?

• 21

• 108

• 21 – n

• 108 – n

Tags

CCSS.6.EE.C.9

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. Which value could replace x on the table?

• (4 – g) 1.5

• (4 – g) + 1.5

• 4g – g(1.5)

• (4 – g)g

Tags

CCSS.8.EE.C.7B

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. What is the value of z in the table?

• 6

• 7

• 8

• 9

Tags

CCSS.HSA.CED.A.3

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?

• 5c + 3(8 – c) = 36

• 5c + 3(8 – c) = 8

• c + (8 – c) = 8

• c + 5 = 5c

Tags

CCSS.8.EE.C.7B

Solve the following mixture problem: A chemist has 15 liters of a 25% acid solution. How many liters of a 40% acid solution should be added to obtain a 30% acid solution?

• 3 liters

• 5 liters

• 20 liters

• 10 liters

Tags

CCSS.HSA.CED.A.1

How much of an alloy with 30% copper must be added to 25 pounds of a second alloy which is 20% copper to create a 27% alloy?

Which of the following equations represents the situation?

How many quarts of a 75% acid solution must be mixed with 3 quarts of a 10% acid solution to make a 60% solution?

• 15 quarts

• 10 quarts

• 9 quarts

• 5 quarts

Tags

CCSS.8.EE.C.7B