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AMC8 2004

AMC8 2004 · Q3

AMC8 2004 · Q3. It mainly tests Ratios & proportions.

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 18 people. If they share, how many meals should they have ordered to have just enough food for the 12 of them?
十二个朋友在Oscar's Overstuffed Oyster House聚餐,每人点了一份餐点。份量太大,足够18个人吃。如果他们分享,为12个人刚好够吃,应该点多少份餐点?
(A) 8 8
(B) 9 9
(C) 10 10
(D) 15 15
(E) 18 18
Answer
Correct choice: (A)
正确答案:(A)
Solution
(A) If 12 people order $\frac{18}{12}=1\frac{1}{2}$ times too much food, they should have ordered $\frac{12}{\frac{3}{2}}=\frac{2}{3}\times 12=8$ meals.
(A)如果 12 个人点了 $\frac{18}{12}=1\frac{1}{2}$ 倍过多的食物,他们本应点 $\frac{12}{\frac{3}{2}}=\frac{2}{3}\times 12=8$ 份餐。
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