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

★Given:-

• Number of students:- 52
• Number of boys is 6/7 of the number of girls.

★To find:-

Number of boys .

★Solution:-

Let the number of girls be x.

Then Number of boys will be $\sf \dfrac{6}{7}x$

___________________________

We know that,

Number of boys + Number of girls = Number of students.

$\sf \dfrac{6}{7}x + x = 52$

$\sf \implies \dfrac{6x + 7x}{7} = 52$

$\sf \implies \dfrac{13x}{7} = 52$

$\sf \implies x = \dfrac{7 \times 52}{13} =28$

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Number of girls = 28.

Number of boys = $\sf \dfrac{6}{7} \: of \: 28 = \dfrac{6}{7} \times 28 = 24$

Number of boys = 24.

Hope it helps.

Answer 2

Answer:

Let the number of girls be x

Number of boys=6/7 of girls=6/7x

Total students=52

x+6/7x=52

[7x+6x]/7=52

13x/7=52

13x=52*7

x=364/13=28

The number of girls are 28 and the number of boys are 6/7*28=24

Therefore the number of boys are 24.

Step-by-step explanation:

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