SOLUTION: how many quarts of 5% butterfat milk and 1% butterfat milk should be mixed to yield 60 quarts of 4% butterfat milk

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Question 902941: how many quarts of 5% butterfat milk and 1% butterfat milk should be mixed to yield 60 quarts of 4% butterfat milk
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=60,
0.01*a+0.05*b=0.04*60
a=60-b
0.01*(60-b)+0.05*b=2.4
0.6-0.01b+0.05*b=2.4
0.04*b=1.8
b=45
a=60-b
a=15 qt at 1% b=45 qt at 5%
check
0.01*15+0.05*45=0.04*60
0.15+2.25=2.4
2.4=2.4
ok