2004 AMC 8 第 3 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。

3.

十二个朋友在 Oscar's Overstuffed Oyster House 共进晚餐,每人点了一份餐。餐量非常大,足够 1818 个人吃。如果他们共享食物,为了刚好够这 1212 个人吃,他们本应点多少份餐?

Twelve friends met for dinner at Oscar's Overstuffed Oyster House, and each ordered one meal. The portions were so large, there was enough food for 1818 people. If they shared, how many meals should they have ordered to have just enough food for the 1212 of them?

88

99

1010

1515

1818

答案:A
知识点:比与比例
难度评级:560
解答:

1212 份餐能喂饱 1818 个人,所以一份餐能喂饱 1812=32\dfrac{18}{12} = \dfrac{3}{2} 个人。

因此 1212 个人需要 12÷32=812 \div \dfrac{3}{2} = 8 份餐。

所以正确答案是 A

Note that 1212 meals feed 1818 people. This means that one meal feeds 1812=32\dfrac{18}{12} = \dfrac{3}{2} people.

This means that they need 12÷32=812 \div \dfrac{3}{2} = 8 meals for 1212 people.

Thus, A is the correct answer.

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