Question

In a class of 42 students, the number of boys is 2/5 of the girls. Find the number of boys and girls in the class.

No Wrong Answers Please​

Answer 1

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In a class of 42 students, the number of boys is $\frac{2}{5}$ of the girls. Find the number of boys and girls in the class.

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$\sf\green{Given :}$

➣ In a class the number of students = 42 students

➣ The number of boys is $\frac{2}{5}$ of the girls

$\sf\red{To \: Find :}$

➣ The number of boys in the class

➣ The number of girls in the class

$\sf\pink{Solution :}$

➪ Let, the number of girls = x

➪ Let, the number of boys = $\frac{2}{5}$x

⇒ Number of boys + Number of girls = Total number of students in the class

⟼ $\frac{2}{5}$x + x = 42

⟼ $\frac{2x + 5x}{5}$ = 42

⟼ $\frac{7x}{5}$ = 42

⟼ 7x = 42 × 5

⟼ 7x = 210

⟼ x = $\cancel\frac{210}{7}$

⟼ x = 30

➙ The number of girls in the class = x = 30

➙ The number of boys in the class = $\frac{2}{5}$x = $\frac{2}{5}$ × 30 = $\frac{60}{5}$ = 12

➦ So, the number of girls in the class is 30 and the number of boys in the class is 12.

Answer 2

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