Problem:
Miki has a dozen oranges of the same size and a dozen pears of the same size. Miki uses her juicer to extract ounces of pear juice from pears and ounces of orange juice from oranges. She makes a pear-orange juice blend from an equal number of pears and oranges. What percent of the blend is pear juice?
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Solution:
Use pears to make of pear juice and oranges to make of orange juice for a total of of juice. The percent of pear juice is .
Miki can make of orange juice with oranges, so she can make of orange juice with orange. She can make of pear juice from pears, so she can make of pear juice from pear. With orange and pear, she can make of the blend, of which is pear juice. As a percent, of the blend is pear juice.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions