Question

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is $28. The total cost to rent 4 chairs and 8 tables is $73. What is the cost to rent each chair and each table?

Answer 1

Let C = cost to rent each chair Let T = cost to rent each table

4C + 8T = 73

2C + 3T = 28

Multiply the 2nd equation by (-2) then add the equations together

4C + 8T = 73

-4C - 6T = -56

2T = 17

T = 17/2 = 8.5 Plug this in to the 1st equation to solve for C

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

cost to rent each chair is $1.25

cost to rent each table is $8.50