Question

One day, a group of people had a driving test.
40 of this group were men and the rest were women.
5/3 of the men and 3/2 of the women passed the driving test.
The number of men and women that passed the driving test was the same.
Work out the number of women that took the driving test that day.

Answer 1

Answer:

Explanation:

When selecting ratios for two variables (boys and girls) the two sides of the ratio must add up to be a factor of the total student count. The factors of 28 include 14, 7, 4, and 2. (1 + 1 = 2), (2 + 3 = 5), (3 + 4 = 7), and (1 + 3 = 4). 5 is the only nonfactor and cannot be the ratio of boys to girls, thus making 2 : 3 the correct answer.