Question

in a class of 52 students, the number of boys is 6/7 of the number of girls. how many are boys? ​

Answer 1

Answer:

24

Step-by-step explanation:

let the number of girls = x

     ''        ''         ''     ''    = 6x/7

    x+6x/7 = 52

or,  13x/7  = 52

or,      x     = (4×7) = 28

∴number of boys = (6×28)/7 = 24

Answer 2

Answer:

Let the number of girls be x.

Then, the number of boys =$\frac{6}{7} \times x = \frac{6x}{7}$

Atq,

$\: \: \: \: \: \: \: \: x + \frac{6x}{7} = 52 \\ = > \frac{7x + 6x}{7} = 52 \\ = > \frac{13x}{7} = 52 \\ = > 13x =5 2 \times 7\\ = > x = \frac{52 \times 7}{13} \\ = > x = 4 \times 7 \\ = > x = 28$

Hence, number of boys

$= \frac{6 \times 28}{7}$

$= 6 \times 4$

$=24$