SOLUTION: how many gallons of pure alcohol must be mixed with 5 gallons of a solution that is 20% alcohol solution that is 50% alcohol?

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Question 473556: how many gallons of pure alcohol must be mixed with 5 gallons of a solution that is 20% alcohol solution that is 50% alcohol?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how many gallons of pure alcohol must be mixed with 5 gallons of a solution that is 20% alcohol solution that is 50% alcohol?
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Equation:
alcohol + alcohol = alcohol
x + 0.20*5 = 0.50(x+5)
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Multiply thru by 100.
100x + 20*5 = 50x + 50*5
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50x = 30*5
x = 3 gallons (amt. of pure alcohol needed)
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Cheers,
stan H.