SOLUTION: if a drink contains 67% juice concentrate and drink b contains 7%. how much of a solution should be mixed in order to create 150 liters of a solution that contains 47% juice concen

Question 1143346: if a drink contains 67% juice concentrate and drink b contains 7%. how much of a solution should be mixed in order to create 150 liters of a solution that contains 47% juice concentrate.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

----------solve first for a.
--

or more simplified
----------volume liters of the 67% juice concentrate
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Picture the three percentages on a number line: 7, 47, and 67.

Perform calculations to show that 47 is 2/3 of the way from 7 to 67.

That means 2/3 of the mixture must be the 67% juice.

ANSWER: 2/3 of 150 liters, or 100 liters, of 67% juice; the other 50 liters of 7% juice.

CHECK:
100(.67)+50(.07) = 67+3.5 = 70.5
150(.47) = 70.5
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