Question

Susie 买了 $4$ 个松饼和 $3$ 根香蕉。Calvin 买 $2$ 个松饼和 $16$ 根香蕉所花的钱是她的两倍。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：一次方程比与比例

难度评级：1230

解答：

设一个松饼的价格为 $m$ ，一根香蕉的价格为 $b$ ，则 $2(4m+3b) = 2m+16b.$

展开得 $8m+6b = 2m+16b$ ，所以 $6m = 10b$ ，即 $m = \tfrac53 b$ 。

所以正确答案是 B。

Let a muffin cost $m$ and a banana cost $b.$ Then $2(4m+3b) = 2m+16b.$

Expanding gives $8m+6b = 2m+16b,$ so $6m = 10b$ and $m = \tfrac53 b.$

Thus, the correct answer is B.

2014 AMC 12B 第 4 题

答案：B

难度评级：1230

解答：

其他年份的第 4 题