SOLUTION: How much pure water has to be added to a 5% salt solution to end up with 20 gallons of a 3% solution?

Question 726836: How much pure water has to be added to a 5% salt solution to end up with 20 gallons of a 3% solution?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
VARIABLES TO USE
x = volume of water to use
y = volume of the salt solution to use
M = volume of resulting solution, 20 gallons
H = percent salt solution to use, 5%
T = percent salt solution result for mixture, 3%

MAKE EQUATIONS BASED ON PROBLEM DESCRIPTION
Account for salt. Note very critically, the amount of water and salt solution are both unknown. .
...AND, account for materials to use. .

SOLVE THE SYSTEM
The only unknowns are x and y. Solve this system for x and y.
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COMPUTE VALUES OF x AND y
Substitute the known, given values into the formulas for x and y to find their values.
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