High School

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

How much did each jacket cost? Choose ALL of the division and multiplication equations that represent this problem.

1. [tex]1,116c = 36[/tex]
2. [tex]1,116 \div c = 36[/tex]
3. [tex]c = 1,116 \times 36[/tex]
4. [tex]36c = 1,116[/tex]
5. [tex]1,116 \div 36 = c[/tex]

Answer :

Final answer:

To find the cost per jacket, one should divide the total cost of $1,116 by the number of jackets, which is 36, yielding a cost of $31 per jacket.

Explanation:

The student's question concerns the calculation of the cost per jacket when a swim team orders 36 jackets for a total cost of $1,116. To find the cost of each jacket, c, you need to divide the total cost by the number of jackets. The correct division equation representing this problem is 1,116 ÷ 36 = c. Moreover, the corresponding multiplication equation that checks the solution would be 36c = 1,116, where c is the cost per jacket. By solving the division equation, we can determine that each jacket costs $31 (rounded to the nearest penny).