Answer :
let total strength be x .
girls=5/8x
boys=x-5/8x=3/8x
3/8x+120=5/8x
120=5/8x-3/8x
120=2/8x
120=1/4x
120*4=x
x=480
total student is 480
girls=5/8x
boys=x-5/8x=3/8x
3/8x+120=5/8x
120=5/8x-3/8x
120=2/8x
120=1/4x
120*4=x
x=480
total student is 480
The answer is 480.
Given: Fraction of the students that are girls = [tex]\frac{5}{8}[/tex]
The number of girls is 120 more than the boys.
To Find: strength of the school
Solution:
Let the strength of the school be x.
No. of girls = [tex]\frac{5x}{8}[/tex]
No. of boys = x - [tex]\frac{5x}{8}[/tex]
According to the problem,
[tex]\frac{5x}{8}[/tex] - (x - [tex]\frac{5x}{8}[/tex]) = 120
⇒ [tex]\frac{5x}{8}[/tex] - x + [tex]\frac{5x}{8}[/tex] = 120
⇒ [tex]\frac{5x}{8} + \frac{5x}{8}[/tex] = 120 + x
⇒ [tex]\frac{10x}{8}[/tex] = 120 + x
⇒ 10x = 8 (120 + x)
⇒ 10x = 960 + 8x
⇒ 10x - 8x = 960
⇒ 2x = 960
⇒ x = 480
Answer) The total strength of the school is 480.
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