2002 AMC 8 Problems/Problem 24
Contents
Problem
Miki has a dozen oranges of the same size and a dozen pears of the same size. Miki uses her juicer to extract 8 ounces of pear juice from 3 pears and 8 ounces of orange juice from 2 oranges. She makes a pear-orange juice blend from an equal number of pears and oranges. What percent of the blend is pear juice?
Solution 1
A pear gives ounces of juice per pear. An orange gives
ounces of juice per orange. If the pear-orange juice blend used one pear and one orange each, the percentage of pear juice would be
Solution 2
Since it doesn't matter how many pears and oranges there are, you can make the number of them whatever you like. In this case, we could use , because it's the LCM of
and
. Then for the
pears, there are
ounces of pear juice. For the 6 oranges, there are
ounces of orange juice. Since we are looking for the percent of pear juice, we need to do
. Simplifying, we get
. Hence the answer is
.
See Also
2002 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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All AJHSME/AMC 8 Problems and Solutions |
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