Question

The number of boys and girls in a class are in the ratio 7:5 the number of boys is 8 more than girls what is the total strength

Answer 1

Answer:

Total strength = 48

Step-by-step explanation:

Ratio of number of boys and girls = 7:5

Let the number of boys and girls be 7x and 5x respectively,

Their difference = 2x = 8

x= 8/2 = 4

Total strength = 7x+5x = 12x = 12*4 = 48

Answer 2

${\mathfrak{\red{\underline{\underline{Answer:-}}}}}$

Number of boys = 7x = 7 × 4 = 28

Number of girls = 5x = 5 × 4 = 20

Total class strength = 28 + 20 = 48 students

${\mathfrak{\red{\underline{\underline{Explanation:-}}}}}$

Let the common ratio between the number of boys and numbers of girls be x.

Number of boys = 7x

Number of girls = 5x

According to the given question,

Number of boys = Number of girls + 8

∴ 7x = 5x + 8

On transposing 5x to L.H.S, we obtain

7x − 5x = 8

2x = 8

On dividing both sides by 2, we obtain

$\sf{\dfrac{2x}{2}=\dfrac{8}{2}}$

x = 4

Number of boys = 7x = 7 × 4 = 28

Number of girls = 5x = 5 × 4 = 20

Hence, total class strength = 28 + 20 = 48 students