Question

there are 36 students at elmdale middle school who play on a sports team. this is 15% of the total number of students.
(a) create a double number line that can be used to find the total number of students at the school.
select
select
(b) what is the total number of students at the school?
students

Explanation:

Part (b) Solution:

Step 1: Define the relationship

Let \( T \) be the total number of students. We know that \( 15\% \) of \( T \) is 36. Mathematically, this is \( 0.15T = 36 \) (since \( 15\% = \frac{15}{100}=0.15 \)).

Step 2: Solve for \( T \)

To find \( T \), we divide both sides of the equation by \( 0.15 \):
\( T=\frac{36}{0.15} \)

Step 3: Calculate the division

\( \frac{36}{0.15} = \frac{36\times100}{0.15\times100}=\frac{3600}{15}=240 \)

Answer:

240