Question 232224: I have two gallons of grape drink that is one-third water, and I mix it with three gallons of lemonade that is three-fourths water. After mixing, I spill one gallon of the mixture. How much water is there in the remaining four gallons of the mixture?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I have two gallons of grape drink that is one-third water, and I mix it with three gallons of lemonade that is three-fourths water. After mixing, I spill one gallon of the mixture. How much water is there in the remaining four gallons of the mixture?
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Equation:
water + water = water
(1/3)2 + (3/4)3 = r(5) where r is the fraction of water in the mixture
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(2/3) + (9/4) = 5r
35/12 = 5r
r = 7/12
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7/12 of the 5 gallon mixture is water
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You spill 1 gallon of the mixture; you are left with
(7/12)4 = (7/3)gallon of water in the 4 gallon mixture.
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Cheers,
Stan H.
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