Linear Equations

Question

A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 5 tables is $53. The total cost to rent 2 chairs and 3 tables is $29. What is the cost to rent each chair and each table?

Answer 1

Let c = cost of a chair rental

Let t = cost of a table rental

6c+5t=53

2c+3t=29

Subtract 3 times the second equation from the first

-4t = -34

t = 8.50

Substitute into the 2nd equation

2c + 3(8.5) = 29

2c =3.5

c = 1.75

Each chair rents for $1.75 and each table rents for $8.50