Question

Doug 和 Dave 分一张有 $8$ 片等大披萨。Doug 想要原味披萨，但 Dave 想要半张披萨加凤尾鱼。原味披萨价格为 $\$8$ ，半张加凤尾鱼需要额外 $\$2$ 。Dave 吃了所有凤尾鱼披萨片和一片原味披萨。Doug 吃了剩下的部分。两人各自支付自己吃掉的部分。Dave 比 Doug 多付多少美元？

Doug and Dave shared a pizza with $8$ equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half of the pizza. The cost of a plain pizza was $\$8,$ and there was an additional cost of $\$2$ for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each then paid for what he had eaten. How many more dollars did Dave pay than Doug?

$1$

$2$

$3$

$4$

$5$

答案：D

知识点：分数钱币

难度评级：1190

解答：

每片原味披萨花费 $\$1$ 。 $\$2$ 的凤尾鱼费用分摊到 $4$ 片凤尾鱼披萨上，每片多 $\$0.50$ ，所以每片凤尾鱼披萨花费 $\$1.50$ 。

Dave 吃了 $4$ 片凤尾鱼披萨和 $1$ 片原味披萨： $4\cdot 1.5 + 1 = \$7$ 。 Doug 吃了剩下的 $3$ 片原味披萨： $\$3$ 。 Dave 多付 $7 - 3 = \$4$ 。

因此，正确答案是 D。

Each plain slice costs $\$1.$ The $\$2$ anchovy charge is spread over the $4$ anchovy slices, adding $\$0.50$ each, so an anchovy slice costs $\$1.50.$

Dave ate $4$ anchovy slices and $1$ plain slice: $4\cdot 1.5 + 1 = \$7.$ Doug ate the $3$ remaining plain slices: $\$3.$ Dave paid $7 - 3 = \$4$ more.

Thus, the correct answer is D.

2006 AMC 12A 第 5 题

答案：D

难度评级：1190

解答：

其他年份的第 5 题