SOLUTION: How many liters of whole milk containing 3% butterfat must be mixed with cream containing 25% butterfat to obtain a mixture of 22 liters of cream containing 20% butterfat? Thank

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Question 268539: How many liters of whole milk containing 3% butterfat must be mixed with cream containing 25% butterfat to obtain a mixture of 22 liters of cream containing 20% butterfat?
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Answer by CharlesG2(834) About Me  (Show Source):
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How many liters of whole milk containing 3% butterfat must be mixed with cream containing 25% butterfat to obtain a mixture of 22 liters of cream containing 20% butterfat?
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22 - x = liters of 3% butterfat whole milk
x = liters of 25% butterfat cream (you need more of this to get up to 20%)
% times qty mixture A + % times qty mixture B = % times qty mixture c
(qty = quantity)
0.03 * (22-x) + 0.25x = 0.20 * 22
0.66 - 0.03x + 0.25x = 4.4
0.66 + 0.22x = 4.4
0.22x = 3.74
x = 17
22-x = 5
0.03 * 5 + 0.25 * 17 = 0.15 + 4.25 = 4.4 = 0.20 * 22 = 4.4
you need 5 liters of the 3%
you need 17 liters of the 25%