SOLUTION: D’Andre wants 14 L of fruit punch that is 10% juice. At the store, he finds only punch that is 15% juice or punch that is 8% juice. How much of each should he purchase?

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Question 478234: D’Andre wants 14 L of fruit punch that is 10% juice. At the store, he finds only punch that is 15% juice or punch that is 8% juice. How much of each should he purchase?
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
I used a method called allegation to work this.
Make a tic tac toe pattern
in the upper left square, put the highest percent
In the lower left square, put the lowest percent.
In the center square, put the percent you want.
15 | . | .
______
. | 10 | .
______
8 | . | .
Subtract the center from the top left and place in the bottom right corner. This is how many parts you need of the 8 percent.
Subtract the lower left from the center and place in the upper right corner. This is how many parts you need of the 15 percent.

15 | . | 2
_____
. | 10 | .
_____
8 | . | 5
The total parts is 7.
multiply the volume you want ( 14 ) times 2/7. This will give you the amount of 15% you will need. ( 4 liters).
Multiply the volume you want ( 14 ) time 5/7. This will give you the amount of 8% you will need. ( 10 liters ).
Cleomenius.