SOLUTION: A pharmacist needs 50 liters of a 60% alcohol solution. She currently has available a 20% solution and a 70% solution. How many liters of each must she use to make the 60% solution

Question 380211: A pharmacist needs 50 liters of a 60% alcohol solution. She currently has available a 20% solution and a 70% solution. How many liters of each must she use to make the 60% solution?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A pharmacist needs 50 liters of a 60% alcohol solution. She currently has available a 20% solution and a 70% solution. How many liters of each must she use to make the 60% solution?
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Equation:
alc + alc = alc
0.20x + 0.70(50-x) = 0.60*50
Multiply thru by 100 to get:
20x + 70*50 - 70x = 60*50
-50x = -10*50
x = 1/5 liter (amt. of 20% solution needed in the mixture)
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50-x = 49 4/5 liters (amt of 70% solution needed in the mixture)
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Cheers,
Stan H.
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