题目

The ratio of Honda to Toyota cars in a shop is 5:6. Total number of cars is an even number ?


Quantity A

Smallest possible number of cars


Quantity B

20

选项

A.

The quantity in Column A is greater.


B.

The quantity in Column B is greater.


C.

The two quantities are equal.


D.

The relationship cannot be determined from the information given.

解析

一家商店里本田车与丰田车的数量比是5:6。汽车的总数是一个偶数。 已知本田车与丰田车的数量比是\(5:6\),设本田车的数量为\(5x\),丰田车的数量为\(6x\),那么汽车的总数\(N = 5x+6x=11x\)。 因为汽车总数\(N = 11x\)是偶数,而\(11\)是奇数,所以\(x\)必须是偶数。 \(x\)取最小的偶数\(2\)时,汽车总数\(N = 11\times2=22\)。所以数量\(A\)的值为\(22\),数量\(B\)的值为\(20\)。 因为\(22>20\),所以数量\(A\)大于数量\(B\),答案是\(A\)。
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