2014 AMC 12B 第 2 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。
2.
Orvin 去商店时带的钱刚好够买 个气球。到达后他发现商店正在特价：按原价买 个气球，第二个气球可减免原价的 。Orvin 最多能买多少个气球？
Orvin went to the store with just enough money to buy balloons. When he arrived he discovered that the store had a special sale on balloons: buy balloon at the regular price and get a second at off the regular price. What is the greatest number of balloons Orvin could buy?
小提示：
把气球两两分组：一个按全价，另一个按原价的 。
Group the balloons into pairs, one at full price and one at of the price
大提示：
每一组两个气球的费用是一个原价气球的 。
Each pair costs of a regular balloon’s price
解答：
在特价下，一组两个气球的费用是一个原价气球的 倍。
Orvin 的钱按原价可以买 个气球，而按特价可以买 组，也就是 个气球。
所以正确答案是 C。
Under the sale, a pair of balloons costs times the regular price of one balloon.
Orvin’s money buys balloons at the regular price, so he can afford pairs, which is balloons.
Thus, the correct answer is C.
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