AMC 8 2012 Problem 4
AMC8 2012 年第 4 题
比与比例★☆☆☆☆
Peter's family ordered a 12-slice pizza for dinner. Peter ate one slice and shared another slice equally with his brother Paul. What fraction of the pizza did Peter eat?
Peter 的家人晚餐订了一块 12 片的比萨。Peter 吃了一片，然后和他的弟弟 Paul 平分了另一片。那么 Peter 所吃的比萨饼占整块的比例是多少？
- A.
- B.
- C.
- D.
- E.
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
Peter ate slices. The pizza has 12 slices total. Taking the ratio of the amount of slices Peter ate to the amount of slices in the pizza, we find that Peter ate of the pizza.
An alternative way of solving this problem is to add the slices separately. When Peter takes a full slice, he takes of the pizza. When he shares the slice with Paul, he splits a slice of pizza into two, so the amount is of , which is . Adding gives
Just like the above solutions, we know that Peter ate slices, which is just 1.5 in decimals. There are 12 slices in total, so the fraction would be . To remove the decimal, we can multiply it by 2 to get , which is just of the pizza.
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