Question

Susie 买了 $4$ 个松饼和 $3$ 根香蕉。Calvin 买了 $2$ 个松饼和 $16$ 根香蕉，花费是 Susie 的两倍。一个松饼的价格是香蕉的多少倍？

Susie pays for $4$ muffins and $3$ bananas. Calvin spends twice as much paying for $2$ muffins and $16$ bananas. A muffin is how many times as expensive as a banana?

$\dfrac{3}{2}$

$\dfrac{5}{3}$

$\dfrac{7}{4}$

$2$

$\dfrac{13}{4}$

答案：B

知识点：方程组比与比例

难度评级：960

解答：

设一个松饼价格为 $m$ ，一根香蕉价格为 $b$ 。 $\begin{aligned} 2(4m+3b) &= 16b + 2m\\ 8m+6b &= 16b + 2m \\ 10b &= 6m\\ m &= \dfrac 53 b.\end{aligned}$

所以正确答案是 B。

Let the price for a muffin be $m$ and let the price for a banana be $b.$ Then, $\begin{aligned} 2(4m+3b) &= 16b + 2m\\ 8m+6b &= 16b + 2m \\ 10b &= 6m\\ m &= \dfrac 53 b.\end{aligned}$

Thus, the correct answer is B .

2014 AMC 10B 第 4 题

答案：B

难度评级：960

解答：

其他年份的第 4 题