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?

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

Step-by-step 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