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

Answer 1

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.

Answer 2

`(9)/(20)` students.

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}=(6)/(8)* (3)/(5)`

`\text{Students who play a sport and a part of the drama club}=(3)/(4)* (3)/(5)`

`\text{Students who play a sport and a part of the drama club}=(3* 3)/(4* 5)`

`\text{Students who play a sport and a part of the drama club}=(9)/(20)`

Therefore,
`(9)/(20)` students play sport and part of the drama club.