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?

1 Answer
Mar 7, 2018

Answer:

#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#.