AMC8 2004

AMC8 2004 · Q15

AMC8 2004 · Q15. It mainly tests Basic counting (rules of product/sum), Area & perimeter.

Thirteen black and six white hexagonal tiles were used to create the figure below. If a new figure is created by attaching a border of white tiles with the same size and shape as the others, what will be the difference between the total number of white tiles and the total number of black tiles in the new figure?

使用 13 块黑色和 6 块白色六边形瓷砖创建了下面的图形。如果通过附加一层与其它相同大小和形状的白色瓷砖边框创建新图形，新图形中白色瓷砖总数与黑色瓷砖总数的差是多少？

(A) 5 5

(B) 7 7

(D) 12 12

(E) 18 18

Answer

Correct choice: (C)

正确答案：（C）

Solution

(C) The next border requires an additional $6 \times 3 = 18$ white tiles. A total of 24 white and 13 black tiles will be used, so the difference is $24 - 13 = 11$.

（C）下一圈边框需要额外的白色瓷砖数量为 $6 \times 3 = 18$。总共将使用 24 块白色瓷砖和 13 块黑色瓷砖，因此差值为 $24 - 13 = 11$。

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