Question

3/8 of a class of students like badminton. 3/5 of the remaining students like table tennis and the rest like soccer. Given that 6 more students like badminton compared to soccer, how many students are there in the class.

Answer 1

Let the class size be N. Badminton = (3/8)N. Remaining = (5/8)N, of which table tennis = (3/5)*(5/8)N = (3/8)N, so soccer = N - (3/8)N - (3/8)N = (1/4)N.

Difference badminton − soccer = (3/8)N − (1/4)N = (1/8)N = 6, so N = 6×8 = 48.

There are 48 students in the class.