SOLUTION: a sugar solution was made by mixing 1 qt. of a 89% sugar solution and 12 qt. of a 50% sugar solution. what is the concentration of the mixture?

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Question 705647: a sugar solution was made by mixing 1 qt. of a 89% sugar solution and 12 qt. of a 50% sugar solution. what is the concentration of the mixture?
Answer by lwsshak3(11628) About Me  (Show Source):
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a sugar solution was made by mixing 1 qt. of a 89% sugar solution and 12 qt. of a 50% sugar solution. what is the concentration of the mixture?
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let x=concentration of mixture
89%*1+50%*12=x*13
.89+6=13x
6.89=13x
x=6.89/13=.53
concentration of mixture=53%