2002 AMC 8 第 24 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
24.
Miki 有一打大小相同的橙子和一打大小相同的梨。Miki 用榨汁机从 个梨中榨出 盎司梨汁，从 个橙子中榨出 盎司橙汁。她用相同数量的梨和橙子制作梨橙混合果汁。混合果汁中梨汁占百分之多少？
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?
小提示：
选择数量相同且便于计算的梨和橙子。
Use an equal convenient number of pears and oranges.
大提示：
六个梨和六个橙子会让两种果汁量都容易计算。
Six pears and six oranges make both juice amounts easy to compute.
解答：
使用 个梨和 个橙子，这样两种水果数量相同。
因为 个梨榨出 盎司， 个梨榨出 盎司。因为 个橙子榨出 盎司， 个橙子榨出 盎司。
混合果汁总量为 盎司，其中 盎司是梨汁。梨汁百分比为 。
所以正确答案是 B。
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.
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