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There are $58$ of boys enrolled in a school. What is the number of boys enrolled in the school if there are 240 girls?

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600

500

400

700

answer is C.

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Detailed Solution

Given the fraction of boys is

58

. --------------(1)
So the fraction of girls

= 1 − 58

= 8 − 5 8

= 38

----------------(2)
And given that the number of girls

= 240

----------------(3)
Now determining the total number of students,
Number of girls =total students

× 38

.
Total students = Number of girls

÷ 38

. ----------------(4)
Total students

= 240 ÷ 38

So the total students,

= 2401 × 83

= 801 × 81

= 640

-------------(5)
Now determining the number of boys.
Number of boys in school = Total students – number of girls
=640-240

= 400

Therefore, the number of boys in school

= 400

.
Hence, option (3) is correct.

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