Question

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

 

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50