Answer:
The fraction of the students play soccer = [tex]\frac{2}{5}[/tex]
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)
= [tex]\frac{6x}{5}*\frac{1}{3x}[/tex]
= [tex]\frac{2}{5}[/tex]
∴ we get
The fraction of the students play soccer = [tex]\frac{2}{5}[/tex]
