SOLUTION: A chemist is mixing a solution that is 32% sodium and another solution that is 12% sodium. How many liters of each type should the chemist use to produce 50 liters of the solution

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A chemist is mixing a solution that is 32% sodium and another solution that is 12% sodium. How many liters of each type should the chemist use to produce 50 liters of the solution       Log On


   

Question 598116: A chemist is mixing a solution that is 32% sodium and another solution that is 12% sodium. How many liters of each type should the chemist use to produce 50 liters of the solution that is 20% sodium?
Answer by stanbon(75887) About Me  (Show Source):
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A chemist is mixing a solution that is 32% sodium and another solution that is 12% sodium. How many liters of each type should the chemist use to produce 50 liters of the solution that is 20% sodium?
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Equation:
sodium + sodium = sodium
0.32x + 0.12(50-x) = 0.20*50
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Multiply thru by 100 to get:
32x + 12*50 - 12x = 20*50
20x = 8*50
x = 20 liters (amt. of 32% solution needed)
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50-x = 30 liters (amt. of 12% solution needed)
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Cheers,
Stan H.
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