SOLUTION: A chemist needs to mix 40% solution with a 70% solution to obtain 12 gallons of a 50% solution. How many gallons of each solution should be used?

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Question 1009781: A chemist needs to mix 40% solution with a 70% solution to obtain 12 gallons of a 50% solution. How many gallons of each solution should be used?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, how much 40%
12-x, how much 70%

Amount of just the solute, 0.4x+0.7(12-x)
Amount of solution, 12 gallons

%2840x%2B70%2812-x%29%29%2F12=50