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How many gallons of 20% alcohol solution should be added to 40 gallons of a 50% alcohol solution to make a 30% solution?

 Feb 19, 2021
 #1
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alcohol in ingredients = alcohol in final soln

 

x = 20% volume

40 = 50% volume

(x+40) = 30% volume

 

.20(x) + .50(40) = .30(x+40)

.2x + 20 = .3x + 12

.1x  = 8

x = 80 gallons of 20% alcohol needed

 Feb 19, 2021

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