SOLUTION: A pharmacist mix is a 20% alcohol solution and a 50% alcohol solution to form a 600 mL of a 40% solution how much of each solution is needed?

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Question 1126174: A pharmacist mix is a 20% alcohol solution and a 50% alcohol solution to form a 600 mL of a 40% solution how much of each solution is needed?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x, volume of the 50% alcohol
600-x, volume of the 20% alcohol

50x%2B20%28600-x%29=40%2A600
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50x%2B20%2A600-20x=40%2A600
30x=20%2A600
3x=2%2A600
highlight%28x=400%29------400 mL of the 50% alcohol

200-----------------200 mL of the 20% alcohol