A restaurant has one type of milk with 2% fat and another has 7% fat. How many quarts of each type does the restaurant to make 40 quarts of a milk mixture that is 5% fat?
24 quarts of the 2% milk and 16 quarts of the 7% milk
16 quarts of the 2% milk and 24 quarts of the 7% milk
16 quarts of the 2% milk and 16 quarts of the 7% milk
24 quarts of the 2% milk and 24 quarts of the 7% milk

Question

A restaurant has one type of milk with 2% fat and another has 7% fat. How many quarts of each type does the restaurant to make 40 quarts of a milk mixture that is 5% fat?
24 quarts of the 2% milk and 16 quarts of the 7% milk
16 quarts of the 2% milk and 24 quarts of the 7% milk
16 quarts of the 2% milk and 16 quarts of the 7% milk
24 quarts of the 2% milk and 24 quarts of the 7% milk

anonymous · Answer

Milk= x 
Fat = 40-x 

0.02 x + 0.07(40 -x ) =40(0.05) 

2x + 280-7x = 200 
-5x =-80 
x = 16 
fat = 40-16 = 24 

Answer B, 16 quarts of the 2% milk and 24 quarts of the 7% milk