Question

Wells college in New York was once an all-girls college. I'm 2005, the college began to allow boys to enroll. By 2012, the ratio of boys to girls was 3 to 7. If there were 200 more girls than boys in 2012, how many boys were enrolled that year?

Answer 1

Answer:

The number of boys enrolled was 150.

Step-by-step explanation:

Suppose, the number of boys enrolled was $x$

As there were 200 more girls than boys, so the number of girls $= x+200$

Given that, the ratio of boys to girls was 3 : 7 , so the equation will be........

$\frac{x}{x+200}= \frac{3}{7} \\ \\ 7x=3x+600\\ \\ 7x-3x=600\\ \\ 4x=600\\ \\ x=\frac{600}{4}=150$

So, the number of boys enrolled was 150.