2002 AMC 8 Problem 24
Attempt Problem 24 of the 2002 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2002 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
24.
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?
Answer: B
Small hint:
Use an equal convenient number of pears and oranges.
Big hint:
Six pears and six oranges make both juice amounts easy to compute.
Solution:
Use pears and oranges, which is an equal number of each fruit.
Since pears make ounces, pears make ounces. Since oranges make ounces, oranges make ounces.
The blend has ounces total, of which ounces is pear juice. The pear-juice percent is
Thus, B is the correct answer.
Problem 24 in other years
- 1985 AMC 8
- 1986 AMC 8
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