At a certain college there are three as many English majors as history majors and two times as many ...

At a certain college there are three as many English majors as history majors and two times as many English majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?

Quiz

Answer/Solution

2 to 3

Steps/Work

This is how I translated the question:
At a certain college there are twice as many english majors as history majors
E = 3H
and three times as many english majors as mathematics majors.
E = 2M
What is the ratio of the number of history majors to the number of mathematics majors?
What is H:M?
Just set E equal to each other to get the ratio in terms of H and M.
2H = 3M
H/M = 2/3
The answer is 2:3
Answer : E