A party rental company has chairs and tables for rent. The total cost to rent  chairs and  tables is . The total cost to rent  chairs and  tables is . What is the cost to rent each chair and each table?

Let's define the variables to represent the costs of renting chairs and tables:

- Let \( c \) be the cost to rent one chair.
- Let \( t \) be the cost to rent one table.

We are given two scenarios involving different numbers of chairs and tables. Let's assume the information given is as follows (the specific numbers would usually be provided, but I'll define the general case first):

1. The total cost to rent \( x_1 \) chairs and \( y_1 \) tables is \( C_1 \).
2. The total cost to rent \( x_2 \) chairs and \( y_2 \) tables is \( C_2 \).

From these, we can set up the following system of equations:

\[
x_1c + y_1t = C_1
\]
\[
x_2c + y_2t = C_2
\]

To solve this system for \( c \) (cost of each chair) and \( t \) (cost of each table), we'd typically need the exact values for \( x_1 \), \( y_1 \), \( C_1 \), \( x_2 \), \( y_2 \), and \( C_2 \). Once these values are known, we can solve the system using substitution or elimination methods.

Please provide the specific numbers for the number of chairs, tables, and total costs, and I'll calculate the solution for you.

Do you want to clarify the numbers? 

Here are 5 possible follow-up questions:

1. How many chairs and tables were rented in each scenario?
2. Were there any discounts or extra fees involved in the rentals?
3. Is the cost per chair/table constant, or does it change depending on the quantity?
4. Can we assume there are only two unknowns in this system?
5. Would you like to see the step-by-step process of solving the system?

**Tip:** When solving systems of linear equations, make sure the number of equations matches the number of unknowns for a valid solution.

A party rental company has chairs and tables for rent. The total cost to rent chairs and tables is . The total cost to rent chairs and tables is . What is the cost to rent each chair and each table?

Learn how to determine the cost of renting chairs and tables by solving systems of linear equations. This problem involves algebraic concepts such as linear equations and requires solving for two unknowns. Suitable for students in Grades 9-11.

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