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?
Answers
Given :- 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 ?
Solution :-
we have ,
→ Total members = 40 .
now, Out of 40 members, (3/8) of the members do the hurdles .
So ,
→ Members who do hurdles are = (3/8) of 40 = (3/8) * 40 = 15 members .
Now, we have given that, members who do the hurdles, 4 /5 also do the long jump .
So,
→ Members who do the long jump = (4/5) of 15 = (4/5) * 15 = 12 Members . (Ans.)
Hence, 12 members do both the hurdles and the long jump .
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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