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pentagon [3]
3 years ago
14

A dairy needs 332 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk contai

ning 3% butterfat must be used to obtain the desired 332 gallons?
Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

Answer:

249 gallons of 7% butterfat milk and 83 gallons of 3% butterfat milk

Step-by-step explanation:

If x is the gallons of 7% butterfat milk, and y is the gallons of 3% butterfat milk, then:

x + y = 332

0.07x + 0.03y = 0.06(332)

Solve the system of equations using substitution:

0.07x + 0.03(332 − x) = 0.06(332)

0.07x + 9.96 − 0.03x = 19.92

0.04x = 9.96

x = 249

y = 332 − x

y = 83

You need 249 gallons of 7% butterfat milk and 83 gallons of 3% butterfat milk.

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