SOLUTION: An 80% fruit juice concentrate is to be mixed with water to produce 10 gallons of 20% fruit juice mixture. How much of each is needed? Is it even legal to call the resulting conc

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Question 684827: An 80% fruit juice concentrate is to be mixed with water to produce 10 gallons of 20%
fruit juice mixture. How much of each is needed? Is it even legal to call the resulting
concoction “juice”?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An 80% fruit juice concentrate is to be mixed with water to produce 10 gallons of 20%
fruit juice mixture. How much of each is needed?
----------------------
Equation:
water + water = water
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0.20x + 1*(10-x) = 0.80*10
------
Multiply thru by 100 to get:
20x + 100*10 - 100x = 80*10
-80x = -10*10
x = 1.25 gallons (amt. of 20% juice needed)
================
10-x = 8.75 gallons (amt. water needed)
===================================
Cheers,
Stan H.