SOLUTION: Determine the number of gallons of a 25% alcohol solution and the number of gallons of a 50% solution that are required to make 8 gallons of a 40% alcohol solution.

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Question 749114: Determine the number of gallons of a 25% alcohol solution and the number of gallons of a 50% solution that are required to make 8 gallons of a 40% alcohol solution.
Answer by josgarithmetic(39838) About Me  (Show Source):
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Determine the number of gallons, u, of a L% material solution and the number of gallons, v, of H% solution that are required to make M gallons of a T% material solution.

highlight%28%28Lu%2BHv%29%2FM=T%29 and highlight%28u%2Bv=M%29

Solve the system for u and v. Substitute the known given values to compute u and v.