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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] represent the cost of each jacket. How much did each jacket cost?

Choose all 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 + 36 = c[/tex]

E. [tex]1,116 \div c = 36[/tex]

Answer :

To determine how much each jacket costs, we can use the information provided: the swim team ordered 36 jackets, and the total cost was [tex]$1,116.

First, we find the cost of each jacket. We know:

- Total cost = $[/tex]1,116
- Number of jackets = 36

To find the cost per jacket, we divide the total cost by the number of jackets:

[tex]\[ \text{Cost per jacket} = \frac{1116}{36} \][/tex]

Calculating this gives us:

[tex]\[ \text{Cost per jacket} = 31 \][/tex]

Each jacket costs $31.

Now, let's identify the correct equations that can represent this scenario:

1. Multiplication Equation:

The equation that represents the total cost is found by multiplying the number of jackets by the cost per jacket:

[tex]\[ 36 \cdot c = 1116 \][/tex]

This is represented by option C.

2. Division Equation:

The cost per jacket can be found by dividing the total cost by the number of jackets:

[tex]\[ c = \frac{1116}{36} \][/tex]

None of the given options directly match this, as they provide incorrect operations or values.

Therefore, the correct multiplication equation is option C: [tex]\( 36 \cdot c = 1116 \)[/tex].

None of the provided options accurately depict a division equation due to misalignment in values or operations.

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