Question

In a school 5 by 8 of the students were girls. If the number of girls is 120 more than that of the boys, what is the strength of the school? How many boys are there?

Answer 1

let the total number of students be x
fraction of girls = 5x/8
fraction of boys = x-5x/8 = 3x/8
girls are 120 more than boys
5x/8- 3x/8 = 120
2x/8 = 120
x = 480
the strength of the school = 480
no of boys = 5×480÷8 = 300

Answer 2

Questioñ

In a school 5 by 8 of the students were girls. If the number of girls is 120 more than that of the boys, what is the strength of the school? How many boys are there?

Solutioñ

Let,

The no. of students be x

No. of girls= 5x/8....(1)

No.of boys= 3x/8.... (2)

So,

5x/8= 120+ 3x/8

5x/8 - 3x/8 = 120

2x/8 = 120

2x= 120×8

2x = 960

x=960/2

x=480

Putting the value of x in 1:

5x/8= 5(480)/4= 300 (no. of girls)

Putting the value of x in 2:

3x/8= 3(480)/8= 180 (no. of boys)

Therefore,

The number of boys are 180 and the number of girls are 300.

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