Question

In the town of Destin,2/3 of the students in middle school participate in organized sports after school. If 3/5 of them play soccer, what fraction of the students play soccer? Enter your answer in simplest form

Answer 1

The fraction of the students play soccer =
`(2)/(5)`

Explanation:

Given - In the town of Destin, 2/3 of the students in middle school participate in organized sports after school.

To find - If 3/5 of them play soccer, what fraction of the students play soccer? Enter your answer in simplest form

Solution -

Let us assume that,

Total number of students in the middle school = 3x

Now,

Given that

2/3 of the students in middle school participate in organized sports after school.

So,

Total students participated in organized sports = (2/3)×3x

= 2x

⇒Total students participated in organized sports = 2x

Now,

Given that,

3/5 of them play soccer

So,

Total players who play soccer = (3/5)×2x

= 6x/5

⇒Total players who play soccer = 6x/5

Now,

The fraction of total students play soccer = (6x/5) ÷ (3x)

=
`(6x)/(5)*(1)/(3x)`

=
`(2)/(5)`

∴ we get

The fraction of the students play soccer =
`(2)/(5)`