Every car at a certain dealership is either a convertible,a sedan,or both.If one-fifth of the convertibles are also sedans and one-third of the sedans are also convertibles,which of the following could be the total number of cars at the dealership?(A

Every car at a certain dealership is either a convertible,a sedan,or both.If one-fifth of the convertibles are also sedans and one-third of the sedans are also convertibles,which of the following could be the total number of cars at the dealership?(A
Every car at a certain dealership is either a convertible,a sedan,or both.If one-fifth of the convertibles are also sedans and one-third of the sedans are also convertibles,which of the following could be the total number of cars at the dealership?
(A) 28 (B) 29 (C) 30 (D) 31 (E) 32
求地道翻译和完整解题思路及过程

Every car at a certain dealership is either a convertible,a sedan,or both.If one-fifth of the convertibles are also sedans and one-third of the sedans are also convertibles,which of the following could be the total number of cars at the dealership?(A
一家店里有三种车:敞篷车,轿车和敞篷轿车.
如果1/5的敞篷车也正好是轿车,而1/3的轿车也正好是敞篷车
那么下面哪个数会是店里车的总数.
设敞篷车有x辆,轿车有y辆.
则x/5=y/3
由等比的知识得:x/5=y/3=x+y/8
故总数一定是8的倍数.
故选E

某汽车经销商既销售单纯的敞篷车、四门轿车，也销售敞篷的四门轿车，如果该经销商有五分之一的敞篷车是四门轿车，同时有三分之一的四门轿车是敞篷车，问该经销商总共有多少辆车？
根据题意，单纯的敞篷车是敞篷的四门轿车的四倍，单纯的四门轿车是敞篷的四门轿车的两倍，因此，车的总数应是7的倍数。这只有A是正确的。
选A...

全部展开

某汽车经销商既销售单纯的敞篷车、四门轿车，也销售敞篷的四门轿车，如果该经销商有五分之一的敞篷车是四门轿车，同时有三分之一的四门轿车是敞篷车，问该经销商总共有多少辆车？
根据题意，单纯的敞篷车是敞篷的四门轿车的四倍，单纯的四门轿车是敞篷的四门轿车的两倍，因此，车的总数应是7的倍数。这只有A是正确的。
选A

收起