SOLUTION: A solution of 77% vinegar is mixed with a solution of a 25% vinegar to form 312 liters of a 64% solution . How many liters of the 77% solution must be used ?

Question 718142: A solution of 77% vinegar is mixed with a solution of a 25% vinegar to form 312 liters of a 64% solution . How many liters of the 77% solution must be used ?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A solution of 77% vinegar is mixed with a solution of a 25% vinegar to form 312 liters of a 64% solution . How many liters of the 77% solution must be used ?
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Equation:
0.77x + 0.25(312-x) = 0.64*312
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77x + 25*312 - 25x = 64*312
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52x = 39*312
x = 234 liters (amt. of 77% solution needed)
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312-234 = 78 liters (amt. 25% solution needed)
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Cheers,
Stan H.
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