# In a school , 5/8 of the students are boys and their are 240 girls. Find the total number of boys in the school

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Fraction of girls = 1 - 5/8 = 3/8

Let the total number of students be x

So, girls = 3/8 × x

240 = 3/8 × x

x = 240×8/3 = 640

Number of boys = 5/8 of 640

= 5/8 × 640

= 400

Now, boys will be = 5/8*x = 5x/8

therefore, 240+5x/8 = x

on transposing 5x/8 to RHS

240 = x - 5x/8

8*240 = 8x-5x

640 = x

HENCE, number of boys in school are 5x/8 = 5*640/8 = 400

HOPE ......... you will understand it