Question

Fifty-six students signed up for the school play. About 34% of these students were boys. At the auditions, only 31 girls attended. What percent of the girls who signed up for the play attended the auditions?

Answer 1

The percent of the girls who signed up for the play attended the

auditions is 83.8% ≈ 84%

Step-by-step explanation:

Fifty-six students signed up for the school play

• About 34% of these students were boys
• At the auditions, only 31 girls attended

We need to find the percentage of the girls who signed up for the play attended the auditions

∵ 56 students signed up for the school play

∵ 34% of these students were boys

∴ The boys who signed up = 34% of 56

∵ 34% = $\frac{34}{100}$ = 0.34

∴ The boys who signed up = 0.34 × 56 ≈ 19 boys

To find how many girls signed subtract the number of boys signed from the number of the student signed

∴ The girls who signed = 56 - 19 = 37 girls

∵ There are 31 girls attended

- To find the percentage of girls who signed up for the play attended

   the auditions divide the number of girls who attended by the

   number of girls who signed and multiply the quotient by 100%

∴ The percent = $\frac{31}{37}$ × 100%

∴ The percent = 83.8%

The percent of the girls who signed up for the play attended the

auditions is 83.8% ≈ 84%

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