Question

There are 950 students at Hanover High School. The ratio of the number of freshmen to all students is 3:10. The ratio of the number of sophomores to all students is 1:2. What is the ratio of the number of freshmen to sophomores?

Answer 1

`3:5`

Explanation:

You first want to figure out how many freshmen there are in the high school. Since the ratio of freshman to all students is `3:10`, freshmen represent `30%` of all `950` students, meaning there are

`950(.3)= 285`

freshmen. The ratio of the number of sophomores to all students is `1:2`, meaning the sophomores represent `1/2` of all students. So

`950(.5)= 475`

sophomores. Since you're looking for the ratio of the number to freshman to sophomores, your final ratio should be `285:475`, which is further simplified to `3:5`.