# In a school 5/8 of the students were girls if the no of girls is 120 more than that of the boys what is the strength of the school how many boys are there

1
by anaghadps01

Log in to add a comment

by anaghadps01

Log in to add a comment

So, total number of students = boys + girls

= (x) + (x+120)

= 2x + 120

We know that 5/8 of the students are girls. Hence:

girls = (2x + 120)

But, we know that :

girls = x + 120

Using this :

x + 120 = ( 2x + 120)

8(x + 120) = 5(2x + 120)

8x + 960 = 10x + 600

Therefore :

2x = 360

and x = 180

Therefore, x + 120 = 300

There are :

1. 180 boys

2. 300 girls

3. 480 students in all