SOLUTION: A 60% alcohol solution is to be mixed with a 42% alcohol solution. How many liters of the 60% solution should be used to make 30 liters of a 54% alcohol solution?

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Question 838374: A 60% alcohol solution is to be mixed with a 42% alcohol solution. How many liters of the 60% solution should be used to make 30 liters of a 54% alcohol solution?
Found 3 solutions by josgarithmetic, stanbon, ewatrrr:
Answer by josgarithmetic(39616)   (Show Source):
You can put this solution on YOUR website!
See my lessons.

and

Solve for u and v.

Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
A 60% alcohol solution is to be mixed with a 42% alcohol solution. How many liters of the 60% solution should be used to make 30 liters of a 54% alcohol solution?
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Equation:
alch + alch = alch
0.60x + 0.42(30-x) = 0.54*30
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60x + 42*20 - 42x = 54*30
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18x = 12*30
x = 20 liters (amt. of 60% solution needed)
30-x = 10 liters (amt. of 42% solution needed)
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Cheers,
Stan H.
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Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!

Hi
Set Up is letting x represent how many liters of the 60% solution should be used
|Solve for x