Question

A party rental company has chairs and tables for rent.

The total cost to rent 7 chairs and 9 tables is $80.
The total cost to rent 5 chairs and 3 tables is $34.
What is the cost to rent each chair and each table?

Answer 1

Let’s solve this problem using a system of linear equations. Let x be the cost to rent each chair and y be the cost to rent each table. Then we can write two equations based on the information given:

7x + 9y = 80 5x + 3y = 34

Multiplying the second equation by -3, we get:

7x + 9y = 80 -15x - 9y = -102

Adding these two equations together, we get:

-8x = -22

Solving for x, we find that x = 2.75. Substituting this value into one of the original equations, we can solve for y:

7(2.75) + 9y = 80 19.25 + 9y = 80 9y = 60.75 y = 6.75

So, the cost to rent each chair is $2.75 and the cost to rent each table is $6.75.