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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 :

joseaaronlara

Answer:

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

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