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Answer :
To find the cost of each jacket, we can use an equation based on the information provided. The swim team ordered 36 jackets for a total cost of \[tex]$1,116. We need to determine the cost of a single jacket, which we'll represent with the variable \( c \).
The problem can be set up using the following equation:
\[
1,116 \div 36 = c
\]
Here's a step-by-step explanation:
1. Identify the total cost and number of jackets:
- Total cost of the jackets is \$[/tex]1,116.
- Number of jackets is 36.
2. Set up the equation:
- Since the total cost is the cost per jacket multiplied by the number of jackets, we get:
[tex]\[ \text{Total cost} = \text{Cost of each jacket} \times \text{Number of jackets} \][/tex]
- Substitute known values:
[tex]\[ 1,116 = c \times 36 \][/tex]
- To find [tex]\( c \)[/tex], divide both sides by 36:
[tex]\[ c = 1,116 \div 36 \][/tex]
3. Calculate the cost per jacket:
- When you divide 1,116 by 36, you get:
[tex]\[ c = 31 \][/tex]
Therefore, each jacket costs \$31. The correct equation representing the problem is [tex]\( 1,116 \div 36 = c \)[/tex], which shows how we find the cost of one jacket by dividing the total cost by the number of jackets.
The problem can be set up using the following equation:
\[
1,116 \div 36 = c
\]
Here's a step-by-step explanation:
1. Identify the total cost and number of jackets:
- Total cost of the jackets is \$[/tex]1,116.
- Number of jackets is 36.
2. Set up the equation:
- Since the total cost is the cost per jacket multiplied by the number of jackets, we get:
[tex]\[ \text{Total cost} = \text{Cost of each jacket} \times \text{Number of jackets} \][/tex]
- Substitute known values:
[tex]\[ 1,116 = c \times 36 \][/tex]
- To find [tex]\( c \)[/tex], divide both sides by 36:
[tex]\[ c = 1,116 \div 36 \][/tex]
3. Calculate the cost per jacket:
- When you divide 1,116 by 36, you get:
[tex]\[ c = 31 \][/tex]
Therefore, each jacket costs \$31. The correct equation representing the problem is [tex]\( 1,116 \div 36 = c \)[/tex], which shows how we find the cost of one jacket by dividing the total cost by the number of jackets.
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