A dairy needs 336 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk contai

Question

2 years ago

8

ning 3% butterfat must be used to obtain the desired 336 gallons?

1 answer:

Arte-miy333 [17] · Answer 1 · 2023-03-28T03:26:21+03:00

We need 84 gallons of 3% butterfat milk and (84 * 3) = 252 gallons of 7% butterfat milk to obtain 336 gallons of 6% butterfat milk.

<h3>How to work with percentages?</h3>

Let x = number of gallons of 3% milk

Thus;

336 - x = number of gallons of 7% milk

Therefore;

0.03x + 0.07(336 - x) = 0.06(336)

0.03x + 23.52 - 0.07x = 20.16

-0.04x = -3.36

x = 84 gallons

We need 84 gallons of 3% butterfat milk and (84 * 3) = 252 gallons of 7% butterfat milk to obtain 336 gallons of 6% butterfat milk.

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