Question

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

Answer 1

Hey,
Let the no. of girls be y,
So, ATQ,
No. of boys = 8+y.
Now,
8+y:y=7:5
8+y/y=7/5
On cross multiplication,
40+5y=7y
-2y=-40
y=20.
Therefore, no. of boys =28 and no. of girls =20.
Total strength of the class =28+20=48.
Hope this helps you buddy!!
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Answer 2

Let the number of girls be x, so number of boys are (x + 8)

So, according to the question..

(x + 8):x = 7:5
or, 5x + 40 = 7x
or, 2x = 40
or, x = 20

So number of girls are 20 & number of boys are 28

So total number of students are 48(Ans)...

Hope it helped you a lot....