The ratio of boys to girls in a certain classroom was 2 : 3. If boys represented five more than one third of the class, how many people were there in the classroom?

Question

Mathematics

Rodrigo Mcclain

4 March, 16:04

The ratio of boys to girls in a certain classroom was 2 : 3. If boys represented five more than one third of the class, how many people were there in the classroom?

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Allan Haynes · Answer 1

Let the no. Of boys=x and that of girls=y.

The total no. Of students = x+y.

As given by statement the no. Of boys=x={ (x+y) / 3} + 5

This implies that

X = (x+y+15) / 3

Also we know that x/y = 2/3 therefore

From this equation we get x=2y/3 and y=3x/2

By method of substitution we get

X = (x+3x/2+15) / 3

•x = (15x+90) / 2

•2x=15x+90

•-13x=90

X = - 90/13

Now. Y = 3x/2=-270/26

Therefore total

no. Of students = - 270/26 + (-90/13)

•no. Of students = - 450/26

According to me this is an imaginary question i mean how can their be a negative person