SOLUTION: How many gallons of 25% alcohol solution and 40% alcohol solution must be mixed to get 6 gallons of 30% alcohol solution? ......gallons of 25% .....gallons of 40%

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Question 429657: How many gallons of 25% alcohol solution and 40% alcohol solution must be mixed to get 6 gallons of 30% alcohol solution?
......gallons of 25%
.....gallons of 40%

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Mixture to be 6 gallons of 30% alcohol solution
Let x and (6-x)represent the amount of the 40% and 25% respectively
Question states***
Mixing
.40x + .25(6-x) = .30*6gal
.15x = .05*6
x = 2gal of 40% solution and 4gal of 25% ssolution
CHECKING our Answer***
.4*2 + .25*4 = .8 + 1 = .3*6 = 1.8gal
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