Question

A solution containing 12% alcohol is to be mixed with a solution
containing 4% alcohol to make 20 gallons of solution containing
9% alcohol. How much of each solution should be used?

Answer 1

Answer:

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A solution containing 12% alcohol is to be mixed with a solution  

containing 4% alcohol to make 20 gallons of solution containing  

9% alcohol. How much of each solution should be used?

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Equation:

alch + alch = alch

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0.12x + 0.04(20-x) = 0.9*20

 

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12x + 4*20 - 4x = 9*20

8x = 5*20

x = 12.5 gallons (amt. of 12% solution needed)

20-x = 7.5 gallons (amt. of 4% solution needed)

Step-by-step explanation: