Question

in a school there are 2/7 boys if there are 280 girls then find the number of boys

Answer 1

Given:

There are $\frac{2}{7}$ boys in a school

No. of girls in the school = 280

To find:

The number of boys

Solution:

Let "x" represent the total no. of students in the school.

Then,

The fraction of boys present in the school = $\frac{2x}{7}$

The fraction of girls present in the school = $x - \frac{2x}{7} = \frac{7x - 2x}{7} = \frac{5x}{7}$

Let "x" represent the total no. of students in the school.

Therefore, according to the question, we can write an equation as,

$\frac{5x}{7} = 280$

$\implies 5x = 280 \times 7$

$\implies x = \frac{280\: \times \:7}{5}$

$\implies x = \frac{1960}{5}$

$\implies x = 392$ ← total no. of students

∴ No. of boys = $\frac{2}{7} \times 392 = 2 \times 56 = \bold{112}$

Thus, the no. of boys in the school is 112.

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