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
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\(A\)。