Directions: These questions pertain to linear equation mixture problems. Read carefully!

1.
You have a 4 quart bottle of 70% pure apple juice. You want to mix it with 90% pure apple juice to obtain 85% pure apple juice. One way of viewing this information is shown below.

How much of the 90% pure apple juice should you use?

Choose:
 6 quarts 8 quarts 12 quarts 24 quarts

2.
A grocery store sells cashew nuts at \$8.00 per pound and peanuts at \$4.00 per pound. They want to mix 10 pounds of the cashews with peanuts to create a mixture that will sell at \$6.50 per pound.

a. Which equation can be used to find the number of pounds of peanuts needed to create the mixture?

Choose:
 8x + 4x = 6.50 40 + 8x = 6.5(10 + x) 8x + 4x = 6.50(10) 80 + 4x = 6.5(10 + x)

b.
How many pounds of peanuts are needed for the mixture?

Choose:
 4 pounds 6 pounds 10 pounds 12 pounds

3.
A dog food company wants to create a 6 pound sample Halloween mixture of orange and black dog biscuits. The orange biscuits sell for \$0.90 per pound, while the custom black biscuits sell for \$1.20 per pound. The company wants to sell the sample mixture for \$1 per pound. How many pounds of each colored dog biscuit should they use in this sample Halloween mixture?
Choose:
 3.5 lbs orange and 2.5 lbs black 4 lbs orange and 2 lbs black 2.5 lbs orange and 3.5 lbs black 2 lbs black and 4 lbs orange

4.
A trail mix called GORP is made up of raisins, peanuts and M&Ms. A store creates large packages of GORP by mixing one part M&M candies, two parts raisins, and three parts peanuts. M&M candies cost \$15 per pound, raisins cost \$8 per pound and peanuts cost \$3 per pound. If a large package of GORP sells for \$7.50, what is the weight of the large package in pounds?
Choose:
 0.1875 pounds 2.5 pounds 1.125 pounds 6.75 pounds

5.
10 fluid ounces of a 2% saline solution is mixed with 22 fluid ounces of a 50% saline solution. What is the concentration of saline in the new mixture?
Choose:
 25% 30% 35% 40%