AMC10每日一题（2000年真题#6）

2000 AMC 10 竞赛试题/第6题

Problem

At Olympic High School,  of the freshmen and  of the sophomores took the AMC-10. Given that the number of freshmen and sophomore contestants was the same, which of the following must be true?

 There are five times as many sophomores as freshmen.

 There are twice as many sophomores as freshmen.

 There are as many freshmen as sophomores.

 There are twice as many freshmen as sophomores.

 There are five times as many freshmen as sophomores.

Solution

Let  be the number of freshman and  be the number of sophomores.

There are twice as many freshmen as sophomores.