the total cost to rent 9 chairs and 7 tables is $86. The total cost to rent 3 chairs and 5 tables is $52. what is the cost to rent each chair and table

Question

the total cost to rent 9 chairs and 7 tables is $86. The total cost to rent 3 chairs and 5 tables is $52

Answer 1

9C + 7T = 86

3C + 5T = 52

 

Multiplying the second equation by -3 and then adding them together....

 

9C + 7T = 86

-9C + -15T = -156

 

-8T = -70

 

T = 70/8 = 35/4 = 8.75

 

Plugging into the second equation because the numbers are smaller....

 

3C + 5(8.75) = 52

3C + 43.75 = 52

 

3c = 52 -43.75

 

3C  = 8.25

 

c = 2.75