2014 AMC 12B 第 4 题

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}

设一个松饼价格为

m

，一根香蕉价格为

b

。

Let a muffin cost

m

and a banana cost

b

Calvin 花费是两倍，意味着

2(4m+3b)=2m+16b

。

Calvin spending twice as much means

2(4m+3b)=2m+16b

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\text{。}

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.

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