Question

Pablo 给朋友们买冰棒。商店出售单支冰棒，每支 $\$1$ ；三支装盒子，每盒 $\$2$ ；五支装盒子，每盒 $\$3$ 。Pablo 用 $\$8$ 最多可以买多少支冰棒？

Pablo buys popsicles for his friends. The store sells single popsicles for $\$1$ each, 3-popsicle boxes for $\$2$ each, and 5-popsicle boxes for $\$3.$ What is the greatest number of popsicles that Pablo can buy with $\$8?$

$8$

$11$

$12$

$13$

$15$

答案：D

知识点：钱币最优化

难度评级：770

解答：

五支装盒子最划算， $\$3$ 可以买五支。

用六美元买两盒，可得 $5 \cdot 2 = 10$ 支，还剩 $\$8 - \$6 = \$2$ 。

$\$1$ 的单支冰棒最不划算，所以剩下的钱应买一个 $3$ 支装盒子。

总数为 $10 + 3 = 13$ 。

所以正确答案是 D。

The $\$3$ boxes give us the most popsicles per dollar, so we want to buy as many of those as possible.

We can buy two of those, getting $5 \cdot 2 = 10$ popsicles with $\$8 - \$6 = \$2$ remaining.

The $\$1$ single popsicles are the worst deal, so Pablo should spend the rest of his money on the $3$ -popsicle box.

He then ends up with $10 + 3 = 13$ popsicles.

Thus, D is the correct answer.

2017 AMC 10A 第 2 题

答案：D

难度评级：770

解答：

其他年份的第 2 题