Question

The boys and the girls in a school are in the ratio of 9:5 if the total strength of the school is 448 find the numbers of girl

Answer 1

let the no. if boys be 9x n the girls be 5x
According to question
9x+5x=448
14x=448
x=448÷14
x=32
no. of girls is 5x=5(32)=160

Answer 2

let proportionality constant =k
then ,
number of girls in school =5k
and number of boys in school =9k

now,
9k + 5 k = 448
14 k = 448
k = 32

hence number of girls in school= 5k =5 x 32 = 160