SOLUTION: Trying to help my daughter... kali mixes together 9 gal of brand a fruit drink and 6 gal of brand b fruit drink which contains 5% fruit juice. find the percent of fruit juice in

Question 648111: Trying to help my daughter...
kali mixes together 9 gal of brand a fruit drink and 6 gal of brand b fruit drink which contains 5% fruit juice. find the percent of fruit juice in brand a if the mixture contained 11% fruit juice.
Thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
kali mixes together 9 gal of brand a fruit drink and 6 gal of brand b fruit drink which contains 5% fruit juice. find the percent of fruit juice in brand a if the mixture contained 11% fruit juice.
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Equation:
concentrate + concentrate = concentrate
Let the unkown percent in "b" be x.
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0.05*6 + x*9 = 0.11(6+9)
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Multiply thru by 100 to get:
5*6 + 900x = 11*15
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30 + 900x = 165
900x = 135
x = 0.15
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Ans: Percent of fruit juice in Brand b is 15%
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Cheers,
Stan H.
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