SOLUTION: A chemist needs 160 milliliters of a 64% solution but has only 52% and 68% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

Algebra ->  Equations -> SOLUTION: A chemist needs 160 milliliters of a 64% solution but has only 52% and 68% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.      Log On


   

Question 418941: A chemist needs 160 milliliters of a 64% solution but has only 52% and 68% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A chemist needs 160 milliliters of a 64% solution but has only 52% and 68% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
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Equation:
active + active = active
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0.52x + 0.68(160-x) = 0.64*160
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Multiply thru by 100 to get:
52x + 68*160 - 68x = 64*160
-16x = -4*160
x = 4*10
x = 40 ml (amt of 52% solution needed)
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160-40 = 120 ml (amt of 68% solution needed)
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Cheers,
Stan H.
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