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In a school, \(\frac{5}{8}\) of the students are boys. If there are 240 girls, find the number of boys in the school.

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Fraction of boys \(=\frac{5}{8}\)

Fraction of girls \(=1-\frac{5}{8}=\frac{3}{8}\)

Number of girl \(=240\)

Number of girls = Total students \(\times\frac{3}{8}\)

\(\Rightarrow\) 240 = Total students \(\times\frac{3}{8}\)

\(\Rightarrow\) Total students = 240 \(\div\) \(\frac{3}{8}\)

\(=240\times\frac{8}{3}\)

\(=\frac{240\times8}{3}\)

\(=\frac{1920}{3}=640\)

Total students \(=640\)

Number of boys = Total students - Number of girls

\(=640-240=400\)

Number of boys \(=\) 400

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