Question

In one school, half of all students who like math like science as well. Also, in that school, a third of all students who like science also like math.

In that school, what is the ratio of the number of students who like math to the number of students who like science?

Answer 1

2/3

Explanation:

1/2 * x = (1/3) * y

x / y = 1/3 / 1/2

x / y = (1/3) * 2 = 2/3

Answer 2

2/3

Explanation:

If we have 'x' students who like math and 'y' students that like science, we can formulate that:

Half of x likes math and science, and also one third of y likes math and science, so:

(1/2) * x = (1/3) * y

x / y = (1/3) / (1/2)

x / y = (1/3) * 2 = 2/3

So the ratio of the number of students who like math to the number of students who like science is 2/3