On the track and field team, 38 of the members do the hurdles. Of the members who do the hurdles, 45 also do the long jump. If there are 40 members on the track team, how many do both the hurdles and the long jump?

Question

Randy Greene

Mathematics

27 November, 06:23

On the track and field team, 38 of the members do the hurdles. Of the members who do the hurdles, 45 also do the long jump. If there are 40 members on the track team, how many do both the hurdles and the long jump?

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Answers (1)

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Corinne Key · Answer 1

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

Step-by-step 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.