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?

Question

Mathematics

Osvaldo Noble

24 July, 20:14

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?

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Answers (1)

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Levi Hernandez · Answer 1

225

Step-by-step 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