SOLUTION: Two different mixtures of gasohol are available, one with 5% alcohol and the other containing 14% alcohol. How many gallons of the 14% mixture must be added to the 293 gal of the 5

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Question 1197546: Two different mixtures of gasohol are available, one with 5% alcohol and the other containing 14% alcohol. How many gallons of the 14% mixture must be added to the 293 gal of the 5% mixture to produce a mixture containing 9% alcohol?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
v gallons of the 14%
293 gallons of the 5%

14v%2B5%2A293=9%28v%2B293%29---------to account for the pure alcohol between the two separate parts and the mixture of those parts.

14v%2B5%2A293=9v%2B9%2A293
14v-9v=9%2A293-5%2A293
%2814-9%29v=293%289-5%29
highlight_green%28v=293%28%289-5%29%2F%2814-9%29%29%29
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