Question

Let's check your math!!! The ratio of boys to girls at the Fairytale Academy is 5:9 and the girls outnumber the boys by 200 girls. How many students are at the school in total? How many girls? How many boys?

Answer 1

The answer to your question is boys = 250, girls = 450, total 700

Explanation:

Data

Ratio boys:girls 5:9

Number of boys = x

Number of girls = x + 200

Process

1.- Write the proportion

(5/9) = (x/ x +200)

- Solve for x

5(x + 200) = 9x

5x + 1000 = 9x

5x - 9x = -1000

- 4x = -1000

x = -1000/-4

x = 250

2.- Number of boys = 250

3.- Number of girls = 250 + 200

= 450

4.- Total number of students = 250 + 450

= 700