Answer:
B. 28%
Explanation:
You want to know the percent of the mixture that is fruit juice, if the mixture is 6 L of 52% juice and 9 L of 12% juice.
Juice
The total amount of juice in the 6+9 = 15 L of mix is ...
0.52·(6 L) +0.12(9 L) = 3.12 L +1.08 L = 4.2 L
Then the fraction of the mix that is fruit juice is ...
(4.2 L)/(15 L) = 0.28 = 28%
The percent of the mixture that is fruit juice is 28%, choice B.
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Additional comment
Effectively, the fraction is the weighted average of the fractions of the constituents. The weights are the number of liters of each constituent.
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