Question

Wells College in Aurora, New York was previously an all-girls college. In 2005, the college began to allow boys to enroll. By 2012, the ratio to girls was 3 to 7. If there were 300 more girls than boys in 2012, how many boys were enrolled that year?

Answer 1

225

Explanation:

Let G and B be the number of girls and boys in 2012.

The ratio boys to girls was 3 to 7.

This means

B/G = 3/7

There were 300 more girls than boys in 2012.

This means

G = B+300

Replace in the first equation and solve for B

B/(B+300) = 3/7 ===> 7B = 3(B+300) ===> 7B = 3B + 900 ===>

===> 7B-3B = 900 ===> 4B = 900 ===> B=900/4 ===> B=225