Question

丹妮卡想把她的模型车排成若干行，每行正好 $6$ 辆。她现在有 $23$ 辆模型车。为了能用这种方式排好所有车，她最少还需要买多少辆？

Danica wants to arrange her model cars in rows with exactly $6$ cars in each row. She now has $23$ model cars. What is the smallest number of additional cars she must buy in order to be able to arrange all her cars this way?

$1$

$2$

$3$

$4$

$5$

答案：A

知识点：整除性估算

难度评级：370

小提示：

找出大于 $23$ 的下一个 $6$ 的倍数

Find the next multiple of $6$ after $23$ .

大提示：

只需要再买一辆车就能达到那个倍数

Only one more car is needed to reach that multiple.

视频讲解：

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文字解答：

为了让丹妮卡把模型车排成每行正好六辆，她拥有的模型车数量必须是 $6$ 的倍数。大于 $23$ 的最小这样的数是 $24$ ，所以她必须再买 $1$ 辆车。

所以正确答案是 A。

In order for Danica to arrange her model cars in rows of exactly six, the number of model cars she has must be a multiple of six. The smallest multiple of $6$ greater than $23$ is $24,$ so she must buy $1$ more car to attain this amount.

Thus, A is the correct answer.

2013 AMC 8 第 1 题