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

Answer:

The fraction of the students play soccer =  $\frac{2}{5}$

Step-by-step 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)

                                                                     = $\frac{6x}{5}*\frac{1}{3x}$

                                                                     = $\frac{2}{5}$

∴ we get

The fraction of the students play soccer =  $\frac{2}{5}$