Problem

A party rental company has chairs and tables for rent. The total cost to rent 4 chairs and 8 tables is $\$ 89$. The total cost to rent 2 chairs and 3 tables is $\$ 34$. What is the cost to rent each chair and each table?
Cost to rent each chair: $s \llbracket$
Cost to rent each table: $\$$

Answer

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Answer

Final Answer: The cost to rent each chair is \(\boxed{\$1.25}\) and the cost to rent each table is \(\boxed{\$10.50}\).

Steps

Step 1 :Represent the problem with the following equations: \(4c + 8t = 89\) and \(2c + 3t = 34\), where c is the cost of each chair and t is the cost of each table.

Step 2 :Solve this system of equations to find the values of c and t.

Step 3 :The solution to the system of equations gives the cost of each chair and each table. The cost of each chair is \(\frac{5}{4}\) dollars and the cost of each table is \(\frac{21}{2}\) dollars.

Step 4 :Final Answer: The cost to rent each chair is \(\boxed{\$1.25}\) and the cost to rent each table is \(\boxed{\$10.50}\).

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