SOLUTION: 100L of a drink that is 28% fruit juice is mixed with a drink that is 40% fruit juice to make a drink that is 36% juice. How many liters of 40% fruit juice should be mixed and how

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Question 607539: 100L of a drink that is 28% fruit juice is mixed with a drink that is 40% fruit juice to make a drink that is 36% juice. How many liters of 40% fruit juice should be mixed and how many liters is the 36% juice mixture?
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
40% fruit juice = x liters

100 * 28% + x * 40% = (100 + x) * 36%
(omit all the % sign)
100 * 28 + x * 40 = (100 + x) * 36
2800 + 40x = 3600 + 36x
40x - 36x = 3600 - 2800
4x = 800
x = 800/4 = 200

so, we should mix 200 liters of 40% fruit juice and the 36% juice mixture will be (100+200) = 300 liters