A swim team ordered 36 jackets, each costing the same amount. The total cost of the order was [tex]\$1,116[/tex]. Let [tex]c[/tex] be the cost of each jacket. How much did each jacket cost?

Choose all of the division and multiplication equations that represent this problem.

A. [tex]1,116c = 36[/tex]
B. [tex]c = 1,116 \cdot 36[/tex]
C. [tex]36c = 1,116[/tex]
D. [tex]1,116 \div 36 = c[/tex]
E. [tex]1,116 + c = 36[/tex]

To determine the cost of each jacket, we need to set up equations that correctly represent the situation.

We know the total cost for the jackets is [tex]$1,116 and the team ordered 36 jackets. Let's represent the cost of each jacket as $ c $.

### Step 1: Formulate the Equation

Since the total cost is the product of the number of jackets and the cost per jacket, we can use the following equation:
\[
36 \times c = 1,116
\]

This is a multiplication equation that represents the problem. It says that 36 jackets multiplied by the cost of each jacket equals $[/tex]1,116. This corresponds to option C: [tex]$ 36c = 1,116 $[/tex].

### Step 2: Solve the Equation for [tex]$ c $[/tex]

To find the cost of each jacket, we need to solve for [tex]$ c $[/tex] by dividing both sides of the equation by 36:
[tex]\[
c = \frac{1,116}{36}
\][/tex]

This division gives us the equation representing how we calculate [tex]$ c $[/tex], which corresponds to option D: [tex]$ 1,116 \div 36 = c $[/tex].

### Step 3: Evaluate the Solution

Perform the division:
[tex]\[
c = 1,116 \div 36 = 31
\][/tex]

Thus, the cost of each jacket is [tex]$31.

### Summary of Correct Equations
- Option C: $ 36c = 1,116 $; multiplication equation.
- Option D: $ 1,116 \div 36 = c $; division equation.

These equations correctly represent the problem of finding the cost per jacket. The calculation confirms that each jacket costs $[/tex]31.