Question

Liliane 的汽水比 Jacqueline 多 $50\%$ ，Alice 的汽水比 Jacqueline 多 $25\%$ 。Liliane 和 Alice 的汽水量有什么关系？

Liliane has $50\%$ more soda than Jacqueline, and Alice has $25\%$ more soda than Jacqueline. What is the relationship between the amounts of soda that Liliane and Alice have?

Liliane 的汽水比 Alice 多 $20\%$ 。

Liliane has $20\%$ more soda than Alice.

Liliane 的汽水比 Alice 多 $25\%$ 。

Liliane has $25\%$ more soda than Alice.

Liliane 的汽水比 Alice 多 $45\%$ 。

Liliane has $45\%$ more soda than Alice.

Liliane 的汽水比 Alice 多 $75\%$ 。

Liliane has $75\%$ more soda than Alice.

Liliane 的汽水比 Alice 多 $100\%$ 。

Liliane has $100\%$ more soda than Alice.

答案：A

知识点：百分数比与比例

难度评级：770

解答：

设 Jacqueline 有 $x$ 加仑汽水，则 Alice 有 $1.25x$ 加仑，Liliane 有 $1.5x$ 加仑。

两人的汽水量之比为 $\dfrac{1.5x}{1.25x}=1.2$ ，所以 Liliane 的汽水比 Alice 多 $20\%$ 。

因此正确答案是 A。

Let $x$ be the number of gallons of soda that Jacqueline has. Then Alice has $1.25x$ gallons, and Liliane has $1.5x$ gallons.

Therefore, the relationship can be found by dividing the amount of soda that each has to yield $\dfrac{1.5x}{1.25x}=1.2,$ which means Liliane has $20\%$ more soda than Alice.

Thus, A is the correct answer.

2018 AMC 10A 第 2 题

答案：A

难度评级：770

解答：

其他年份的第 2 题