Of the Students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of the students a

Question

Of the Students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of the students are also involved in the drama club how many students are both play a sport and a part of the drama club

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Eliza 1 week 2021-09-11T05:23:53+00:00 2 Answers 0

Answers ( )

    0
    2021-09-11T05:25:45+00:00

    Answer:

    \frac{9}{20} students.

    Step-by-step explanation:

    We have been given that of the students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of the students are also involved in the drama club.

    To find the students are both play a sport and a part of the drama club, we need to find 3/5 part of 6/8 as:

    \text{Students who play a sport and a part of the drama club}=\frac{6}{8}\times \frac{3}{5}

    \text{Students who play a sport and a part of the drama club}=\frac{3}{4}\times \frac{3}{5}

    \text{Students who play a sport and a part of the drama club}=\frac{3\times 3}{4\times 5}

    \text{Students who play a sport and a part of the drama club}=\frac{9}{20}

    Therefore, \frac{9}{20} students play sport and part of the drama club.

    0
    2021-09-11T05:25:51+00:00

    Answer:

    18/40

    Step-by-step explanation

    6 out of every 8 students playing a sport, meaning 75 percent of the school play a sport. 3 out of 5 of those 6 out of 8 are in the drama club, this means that we must multiply 60% (3 divided by 5) of those 75%. When we do that we get –> 0.75*0.6=0.45. That fraction is 45/100 and simplified by 2.5, the answer is  18/40.

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