Question

At Cityville High School, 33% of the students participate in sports, 37% of the students participate in academic clubs, and 19% of the students participate in both sports and academic clubs. Find the proportion of students who participate in either sports or academic clubs.

Answer 1

Let's begin by listing out the information given to us:

Sports = 33% = 33/100 = 0.33

Academic clubs = 37% = 37/100 = 0.37

Sports and Academic clubs = 19% = 19/100 = 0.19

Remainder (Neither Sports nor Academic clubs) = 100 - (33 + 37 + 19)

= 100 - 99 = 1% = 1/100 = 0.01

We will find the proportion of students who participate in either sports or academic clubs by summing together the percentage of students that participate in Sports alone & those that participate in Academic clubs alone as shown below:

`\begin{gathered} n=0.33+0.37=0.70 \\ n=0.7 \end{gathered}`

Therefore, the proportion of students who participate in either sports or academic clubs is 70% or 0.7