SOLUTION: a 50 gallon barrel of milk is 60% butterfat. how much skim milk (no butterfat) should be mixed to make milk that is 30% butterfat?

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Question 691968: a 50 gallon barrel of milk is 60% butterfat. how much skim milk (no butterfat) should be mixed to make milk that is 30% butterfat?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Originally there is +.6%2A50+=+30+ gallons
of butterfat in the barrel.
Let x+ = gallons of skim milk to be added
+30+%2F+%28+50+%2B+x+%29+=+.3+
+30+=+.3%2A%28+50+%2B+x+%29+
+30+=+15+%2B+.3x+
+.3x+=+15+
+x+=+50+
50 gallons of skim milk must be added
( another 50 gallons barrel is needed, too )
check:
+30+%2F+%28+50+%2B+x+%29+=+.3+
+30+%2F+%28+50+%2B+50+%29+=+.3+
+30+=+.3%2A100+
+30+=+30+n
OK