Problema Solution

How many gallons of a 80% alcohol solution must be mixed with 30 gallons of a 24% solution to obtain a solution that is 70% alcohol?

Answer provided by our tutors

let


x = gallons of a 80% alcohol solution needed for the mix


0.80x + 0.24*30 = 0.70(x + 30)


by solving we find:


x = 138 gal


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138 gallons of a 80% alcohol solution must be used in the mix.