15. A restaurant has one type of milk that has 2% fat and another that has 7% fat. how many quarts of each type does the restaurant need to make 40 quarts of a milk mixture that is 5% fat?

a. 24 quarts of the 2% milk and 16 quarts of the 7% milk

b. 16 quarts of the 2% milk and 24 quarts of the 7% milk

c. 16 quarts of the 2% milk and 16 quarts of the 7 milk

d. 24 quarts of the 2% milk and 24 quarts of the 7% milk,

Question

Mathematics

Seth Shah

24 November, 22:02

15. A restaurant has one type of milk that has 2% fat and another that has 7% fat. how many quarts of each type does the restaurant need to make 40 quarts of a milk mixture that is 5% fat?

a. 24 quarts of the 2% milk and 16 quarts of the 7% milk

b. 16 quarts of the 2% milk and 24 quarts of the 7% milk

c. 16 quarts of the 2% milk and 16 quarts of the 7 milk

d. 24 quarts of the 2% milk and 24 quarts of the 7% milk,

+2

Answers (1)

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Jakobe · Answer 1

B. 16 quarts of the 2% milk and 24 quarts of the 7% milk First, let's create an equation to solve. x = quarts of 2% milk (40-x) = quarts of 7% milk So we have the equation x*2 + (40-x) * 7 = 40*5 Now to solve for x x*2 + (40-x) * 7 = 40*5 x*2 + 7*40 - 7*x = 40*5 x*2 - 7*x = 40*5 - 7*40 - 5*x = - 2*40 x = 2*8 x = 16 So we need 16 quarts of 2% milk and 40-16 = 24 quarts of 7%, which matches option "B".