SOLUTION: A farmer mixes a 20% fertilizer solution with a 40% fertilizer solution to make 8 quarts of a 33.75% fertilizer solution. How many quarts of each does she use?

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Question 590200: A farmer mixes a 20% fertilizer solution with a 40% fertilizer solution to make 8 quarts of a 33.75% fertilizer solution. How many quarts of each does she use?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A farmer mixes a 20% fertilizer solution with a 40% fertilizer solution to make 8 quarts of a 33.75% fertilizer solution. How many quarts of each does she use?
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let x=quarts of 20% solution
8-x=quarts of 40% solution
..
20%x+40%(8-x)=33.75%*8
.2x+3.2-.4x=2.7
.2x=.5
x=2.5
8-x=5.5
ans:
quarts of 20% solution used=2.5
quarts of 40% solution used=5.5