SOLUTION: A chemist mixes a solution containing 18% alcohol with a second solution containing 45% alcohol. The result is 12 oz of solution that is 36% alcohol. How many ounces of each soluti
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Question 386249: A chemist mixes a solution containing 18% alcohol with a second solution containing 45% alcohol. The result is 12 oz of solution that is 36% alcohol. How many ounces of each solution are mixed? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A chemist mixes a solution containing 18% alcohol with a second solution containing 45% alcohol. The result is 12 oz of solution that is 36% alcohol. How many ounces of each solution are mixed?
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Quantity: x + y = 12 oz
Alcohol :0.18x+0.45y = 0.36*12
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Multiply Quantity by 18
Multiply Alcohol by 100
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18x + 18y = 18*12
18x + 45y = 36*12
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27y = 18*12
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y = 2*4
y = 8 oz (amt. of 45% solution needed in the mixture)
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Since x+y = 12, x = 4 oz. (amt. of 18% needed in the mixture)
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Cheers,
Stan H.
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