Question

1/4 of the boys and 1/6
of the girls in the class are overweight. Given that 1/5 of the
class is overweight, find the ratio of the number of boys to the number of girls in
the class.​

Answer 1

Answer:

2:3

Step-by-step explanation:

Let total boys = x

total girls = y

overweight of boys = 1/4 of x = x/4

overweight of girls = 1/6 of x = x/6

overweight of class = x+y/5

According to the question

x/4+y/6 = x+y/5

3x+2y/12=x+y/5

15x + 10y = 12x + 12y

3x = 2y

x:y = 2:3

Ratio of the number of boys to the number of girls in the class = 2:3