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Find how many quarts of 5% butterfat milk and 2% butterfat milk should be mixed to yield 90 quarts of 3% butterfat milk.
The mixture should contain ___ quarts of the 5% butterfat milk.

Respuesta :

mhanifa

Answer:

  • The mixture should contain 30 quarts of the 5% butterfat milk.

Step-by-step explanation:

Let the required amount of 5% milk is x quartz, then the amount of 2% milk is 90 - x quartz.

Set equation for the fat content:

  • 5% of x + 2% of (90 - x) = 3% of 90
  • 0,05x + 0.02(90 - x) = 0.03*90
  • 0.05x + 1.8 - 0.02x = 2.7
  • 0.03x = 2.7 - 1.8
  • 0.03x = 0.9
  • x = 0.9/0.03
  • x = 30

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