Question

A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $39 . The total cost to rent 9 chairs and 7 tables is $63 . What is the cost to rent each chair and each table?

Answer 1

3c + 5t = 39....multiply by -3
9c + 7t = 63
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-9c - 15t = - 117 (result of multiplying by -3)
9c + 7t = 63
---------------add
- 8t = - 54
t = -54/-8
t = 6.75 <=== tables are 6.75

3c + 5t = 39
3c + 5(6.75) = 39
3c + 33.75 = 39
3c = 39 - 33.75
3c = 5.25
c = 5.25/3
c = 1.75 <=== 1.75 per chair