SOLUTION: How many liters each of 12.5% acid solution and 20.25% acid solution must be mixed to obtain 100 liters of 17.5% acid solution? (Please show the work.)

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Question 187222: How many liters each of 12.5% acid solution and 20.25% acid solution must be mixed to obtain 100 liters of 17.5% acid solution?
(Please show the work.)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many liters each of 12.5% acid solution and 20.25% acid solution must be mixed to obtain 100 liters of 17.5% acid solution?
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Equation:
acid + acid = acid
0.125x + 0.2025(100-x) = 0.175*100
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Multiply thru by 10000 to get rid of the decimals:
1250x + 2025(100-x) = 1750*100
-775x = -275*100
x = 35.48 liters (amt of 12.5% solution in the mixture)
100-35.48 = 64.52 liters (amt of 20.25% solution in the mixture)
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Cheers,
Stan H.