How many gallons each of 20​% alcohol and 5​% alcohol should be mixed to obtain 15 gal of 13​% ​alcohol?

Question

How many gallons of 20​% alcohol should be in the​ mixture?

How many gallons of 5​% alcohol should be in the​ mixture?

Answer 1

Hey Ikia,

Let x be the number of gallons of the 20% solution and let y be the number of gallons of the 5% solution.

Your system would be:

x+y=15

0.2x+0.05y=(0.13)(15)

Solve the system using either elimination or substitution method, or a combination of the two.

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