Question

On the track and field team, 3/8 of the members do the hurdles.

Of the members who do the hurdles, 4/5 also do the long jump.
If there are 40 members on the track team, how many do both the hurdles and the long jump?

Answer 1

12 members of the track team do both the hurdles and the long jump.

Explanation:

As there are 40 members on the track team, if 3/8 of them do the hurdles, we have to divide 40 by 8 and the multiply the result by 3 to know the number. So, 40 / 8 is 5, and 5 x 3 is 15. Therefore, 15 members do the hurdles.

Of the members who do the hurdles, 4/5 of them also do the long jump. Using the same method, as 15 / 5 is 3, and 3 x 4 is 12, 12 members of the track team do both the hurdles and the long jump.

Answer 2

15 members do the hurdles,

12 of them do long jump

Explanation:

There are 40 members.

3/8 of all members do the hurdles, so the hurdles do

`(3)/(8)\cdot 40=3\cdot 5=15`

15 members do hurdles, 4/5 of them do the long jump, so

`(4)/(5)\cdot 15=4\cdot 3=12`

do the long jump.