Question

10. 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:

28

Step-by-step explanation:

Because their ratio is given as 7 : 5. So, the strength of the class will be = number of boys in class + number of girls in class = 7x + 5x = 12x. Now, we know that it is given in the question that the number of boys is 8 more than the number of girls. So, the number of boys should be equal to 7x =7*4 = 28.

Answer 2

Let the number of boys be 7x

and that of girls be 5x.

According to the given condition, we have

Number of boys = Number of girls +8

⇒7x=5x+8

⇒7x−5x=8 ....[Transposing 5x to LHS]

⇒2x=8

⇒x= 8÷2

= 4

Therefore, number of boys =7×4=28 and number of girls =5×4=20

So, total number of children in the class =28+20=48.