SOLUTION: A container is partially filled with 12 liters of whole milk containing 4% butterfat. How much 1% milk must be added to get a mixture that is 2% butterfat? Construct a table, then

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Question 467601: A container is partially filled with 12 liters of whole milk containing 4% butterfat. How much 1% milk must be added to get a mixture that is 2% butterfat? Construct a table, then solve.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I can give you formulas and solutions to construct
table with.
In words:
( liters of butterfat you end up with ) / ( total liters of whole milk ) = 2%
Let +x+ = liters of 1% milk that must be added
given:
+.01x+ = liters of butterfat in 1% milk
+.04%2A12+=+.48+ = liters of butterfat in 4% milk
----------
+%28+.48+%2B+.01x+%29+%2F+%28+12+%2B+x+%29+=+.02+
Multiply both sides by +12+%2B+x+
+.48+%2B+.01x+=+.02%2A%2812+%2B+x+%29+
+.48+%2B+.01x+=+.24+%2B+.02x+
+.01x+=+.48+-+.24+
+.01x+=+.24+
+x+=+24+
24 liters of 1% milk must be added
check answer:
+%28+.48+%2B+.01x+%29+%2F+%28+12+%2B+x+%29+=+.02+
+%28+.48+%2B+.01%2A24+%29+%2F+%28+12+%2B+24+%29+=+.02+
+%28+.48+%2B+.24+%29+%2F+36+=+.02+
+.72+=+.02%2A36+
+.72+=+.72+
OK