Question

The number of boys and girls in a class is in the ratio 8 : 5. The number of boys is 9 more than the number of girls. The total number of students in the class is​

Answer 1

Let the no. of girls be 5x

No. of boys=7x

According to the question

5x+8=7x

7x-5x=8

2x=8

x=8/2

x=4

No. of girls=5*4=20

no. of boys=7*4 or 5*4+8=28

Hence the total strength of the class is 20+28=48

Answer 2

Step-by-step explanation:

Given: The number of Boys and Girls in a Class is in the ratio of 8 : 5. & The number of Boys is 9 more than the number of Girls.

Given: The number of Boys and Girls in a Class is in the ratio of 8 : 5. & The number of Boys is 9 more than the number of Girls.Need to find: The Total number of Students?

Given: The number of Boys and Girls in a Class is in the ratio of 8 : 5. & The number of Boys is 9 more than the number of Girls.Need to find: The Total number of Students?⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

Given: The number of Boys and Girls in a Class is in the ratio of 8 : 5. & The number of Boys is 9 more than the number of Girls.Need to find: The Total number of Students?⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀❍ Let's say, that the number of present Boys and Girls in the class be 8x and 5x respectively.

According to the question-------------

It is given that, the number of Boys in the class is 9 more than the number of Girls in the Class.

$(no. \: of \: boys) = (no. \: of \: girls \: + 9)$

$8x \: + 5x \: + 9$

$8x \: - 5x \: = 9$

$3x \: = 9$

$x \: = \frac{9}{3}$

x= 3

Therefore,

Therefore,Number of Girls, 5x = 5(3) = 15

Number of Boys, 8x = 8(3) = 24

Number of Boys, 8x = 8(3) = 24➟ No. of Students = No. of Boys + No. of Girls

Number of Boys, 8x = 8(3) = 24➟ No. of Students = No. of Boys + No. of Girls➟ No. of Students = 15 + 24

Number of Boys, 8x = 8(3) = 24➟ No. of Students = No. of Boys + No. of Girls➟ No. of Students = 15 + 24➟ No. of Students = 39