SOLUTION: a dairy wishes to produce 225 gallons of a "low-fat" milk, which is 2% butterfat, by adding skim milk (no butterfat) to milk that is 3.6% butterfat. How much of each type of milk m

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Question 601764: a dairy wishes to produce 225 gallons of a "low-fat" milk, which is 2% butterfat, by adding skim milk (no butterfat) to milk that is 3.6% butterfat. How much of each type of milk must the dairy use?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = gallons of skim milk needed
Let +b+ = gallons of 3.6% butterfat
+.02%2A225+=+4.5+ gallons of butterfat in 2% milk
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(1) +a+%2B+b+=+225+
(2) +%28+.036b+%29+%2F+225+=+.02+
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(2) +.036b+=+.02%2A225+
(2) +.036b+=+4.5+
(2) +b+=+125+
and, since
(1) +a+%2B+b+=+225+
(1) +a+%2B+125+=+225+
(1) +a+=+100+
100 gallons of skim milk is needed
125 gallons of 3.6% butterfat is needed