A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 5 tables is $43. The total cost to rent 8 chairs and 3 tables is $36. What is the cost to rent each chair and each table?

2 answers

2 c + 5 t = 43 ... 8 c + 20 t = 172

8 c + 3 t = 36

subtract the equations to eliminate c
... solve for t
... substitute back to find c
Mark the cost of chairs with C and the cost of tables with T.

The total cost to rent 2 chairs and 5 tables is $43 means:

2 C + 5 T = 43

The total cost to rent 8 chairs and 3 tables is $36 means:

8 C + 3 T = 36

Now you must solve system of two equqtions:

2 C + 5 T = 43

8 C + 3 T = 36
___________

Try to do that.

The solutions are:

C = 1.5 , T = 8

The cost to rent chair is $1.5

The cost to rent table is $8