SOLUTION: Chris is diluting 6 gallons of pure apple juice concentrate to a 24% apple juice concentration. How much water should he add? please explain step by step. Thanks.

Question 572996: Chris is diluting 6 gallons of pure apple juice concentrate to a 24% apple juice concentration. How much water should he add? please explain step by step. Thanks.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Chris is diluting 6 gallons of pure apple juice concentrate to a 24% apple juice concentration.
How much water should he add?
:
Let w = amt of water to be added to accomplish a 24% concentration
:
That actual amt of apple juice will remain the same, only the percent changes therefore:
.24(w+6) = 6
.24w + 1.44 = 6
.24w = 6 - 1.44
.24w = 4.56
w =
w = 19 gallons of water need to be added
:
:
See if this checks out:
.24(19+6) =
.24(25) = 6
:
Did this make sense to you?

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