SOLUTION: an orchard operator must dilute 11 quarts of 60% insecticide solution by adding water. How many quarts of water should be added to get a mixture that is 2% insecticide?

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Question 127775: an orchard operator must dilute 11 quarts of 60% insecticide solution by adding water. How many quarts of water should be added to get a mixture that is 2% insecticide?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In words,
(amount of insecticide)/(water added + original solution) = .02
Let w = water to be added
.6%2A11+%2F+%28w+%2B+11%29+=+.02
6.6+%2F+%28w+%2B+11%29+=+.02
6.6+=+.02%28w+%2B+11%29
6.6+=+.02w+%2B+.22
.02w+=+6.6+-+.22
.02w+=+6.38
w+=+319
319 quarts of water need to be added
check:
6.6+%2F+%28w+%2B+11%29+=+.02
6.6+%2F+%28319+%2B+11%29+=+.02
6.6+%2F+330+=+.02
.02+=+.02
OK