Explanation
A lot of pieces of information are floating around in this
question: revenue, glasses, prices. We can relate them in that revenue will be
the number of glasses times the price:
And we have a relationship between the revenue on the two
days:
Putting in the fact that the price on Wednesday was $9,
and isolating the price on Thursday, we get:
We have information to determine the number of glasses.
Consider the case in which 24 ounces of wine was sold. The number of glasses
would be 4 on Wednesday and 6 on Thursday, so the ratio of glasses sold is 2 to
3:
That indicates a price per glass on Thursday of $4.50.
We can double-check that this makes sense: if the number
of glasses sold was 50% higher on Thursday, but the revenue was only 75%, then
the price per glass would have to be much lower. Continuing with the case we
discussed, if on Wednesday the number of glasses was 4, then the revenue would
be .
And the revenue on Wednesday would be for 6 glasses, so the price must be $4.50.
Indeed, we could have solved the question this way straightaway. The correct
answer is (B).
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