Question

At a school. Number of boys:number of girls=11:9. There are 124 more boys than girl. Work out the total number of students at the school

Answer 1

Answer:

Total students = 1240

Step-by-step explanation:

Given that,

Number of boys: number of girls=11:9

$\dfrac{x}{y}=\dfrac{11}{9}\\\\9x=11y$ ......(1)

There are 124 more boys than girls i.e.

x = 124+y .....(2)

Put the value of x from equation (2) in equation (1). So,

9(124+y) = 11y

1116 +9y = 11y

1116 = 2y

y = 558

Put the value of y in equation (2).

x = 124+558

x = 682

Total students = x+y

= 682+558

= 1240

So, there are 1240 students at the school.