Question

The 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. What is the total class strength? ​

Answer 1

Answer:

• let the number of boys be x
• Number of girls x-8
• Total strength of class = x +(x-8)

Then, The Ratio of boys to that of girls=

=7/5 = x/x-8

• $= \frac{7}{5} = \frac{x}{x - 8} \\ = 7(x - 8) = 5x \\ = 7x - 56 = 5x \\ = 7x - 5x = 56 \\ = 2x = 56 \\ = x = 28$

Total strength of class=x+(x-8)

= 28+(28-8)

= 28+20

= 48