Question

Number of boys:number of girls=11:9there are 124 boys more than girls. What is the total number of student at the school?

Answer 1

boys (b): g + 124

girls (g): g

Total (T): b + g

I am going to set up a proportion based on boys to total students.

`(11)/(20) = (124 + g)/((124 + g) + (g))`

⇒
`(11)/(20) = (124 + g)/(124 + 2g)`

⇒ 11(124 + 2g) = 20(124 + g)

⇒ 1364 + 22g = 2480 + 20g

⇒ 1364 + 2g = 2480

⇒ 2g = 1116

⇒ g = 558

boys (b): g + 124 = (558) + 124 = 682

Total (T): b + g = 682 + 558 = 1240

Answer: 1240 total students