Question

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

Answer 1

Answer:

Step-by-step explanation:

Let number of girls =x

Number of boys =x+8

So, x+8/x=7/5

=> 5x +40= 7x

=> x= 20 and x+8= 28

So, number of total strength = 20+28=48(and)

Answer 2

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Let the number of boys be 7x

Let the number of girls be 5x

$\sf = 7x = 8x + 5x \\ \sf = 7x - 5x = 8 \\ \sf = 2x = 8 \\ \sf = x = \frac{8}{2} = 4$

The number of boys = 7x

$\sf {= 7 × 4 = 28}$

The number of girls = 5x

$\sf {= 5 × 4 = 20}$

Therefore , total strength of the class $\sf {= 28 + 20 = 48.}$