SOLUTION: A chemist has one solution that is 60% alcohol and another that is 35% alcohol. How much of each must she use to make 15 liters of a solution that is 45% alcohol? 60% solution

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A chemist has one solution that is 60% alcohol and another that is 35% alcohol. How much of each must she use to make 15 liters of a solution that is 45% alcohol? 60% solution       Log On


   



Question 1100948: A chemist has one solution that is 60% alcohol and another that is 35% alcohol. How much of each must she use to make 15 liters of a solution that is 45% alcohol?
60% solution
35% solution

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A chemist has one solution that is 60% alcohol and another that is 35% alcohol. How much of each must she use to make 15 liters of a solution that is 45% alcohol?
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alch + alch = alch
0.6x + 0.35(15-x) = 0.45*15
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Modify::
60x + 35*15 - 35x = 45*15
25x = 10*15
x = (2/5)(15
x = 6 liters (amt. of 60% solution)
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15-x = 9 liters (amt. of 35% solution)
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Cheers,
Stan H.
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