Well's College in New York was previously an all girls school. In 2005, the college began to allow boys to enroll. By 2012, the

Question

2 years ago

7

ratio of boys to girls was 3:7. If there were 200 more girls than boys, how many boys were enrolled that year?

1 answer:

kogti [31] · Answer 1 · 2022-10-22T10:31:35+03:00

Answer: 150 boys

Step-by-step explanation:

Let the number of boys be x

Since there were 200 more girls than boys, the number of girls will be: = x + 200

Since the ratio of boys to girls was 3:7, this can be solved further below:

3/7 = x/x+200

Cross multiply

(7 × x) = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150

The number of boys enrolled is 150

Number of Girls will be:

= X + 200

= 150 + 200

= 350

Check: Number of boys / Number of girls

= 150/350

= 3/7

= 3:7