The total cost to rent 5 chairs and 3 tables is $25. The total cost to rent 2 chairs and 6 tables is $40. What is the cost to rent each chair and each table?

Answer 1

5c +3t = 25

2c +6t = 40

10c+6c =50

2c +6t = 40

10c - 2c = 8c = 50-40 = 10

8c = 10

c =10/8 = $1.25 per chair

t = [25-5(1.25)]/3 = (25-6.25)/3= 18.75/3 = $6.25 per table

2(1.25) +6(6.25)

= 2.5 + 37.5

= 40

5(1.25) +3(6.25)

= 6.25 + 18.75

= 25