SOLUTION: How much water must be evaporated from 10gal of a 12% sugar solution in order to obtain a 15% sugar solution?

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Question 213718This question is from textbook Algebra Beginning and Intermediate
: How much water must be evaporated from 10gal of a 12% sugar solution in order to obtain a 15% sugar solution?
 This question is from textbook Algebra Beginning and Intermediate

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = amount of water to be evaporated

The equation will be
Amount of sugar beginning - Amt sugar evap = Amt sugar at the end
10 gallons * 12% - 0 sugar evaporates = (10-x)gallons * 15%
.12(10)-0 = .15(10-x)

Multiply both sides by 100 to clear the decimals:
12*10 = 15(10-x)
120 = 150-15x
-30 = -15x
x= 2 gallons to evaporate

Check:
Amount of sugar before =10*.12 = 1.2 pounds
Amount of sugar after = 8*.15 =1.2 pounds
It checks!

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