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
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
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
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