A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 5 tables is $45. The total cost to rent 8 chairs and 3 tables is $44. What is the cost to rent each chair and each table?
+23246 Let c be the cost of renting 1 chair.
Let t be the cost of renting 1 table.
2c + 5t = 45.00 ---> multiply by 4 ---> 8c + 20t = 180.00
8c + 3t = 44.00 ---> multiply by -1 ---> -8c - 3t = -44.00
Add down the columns: 17t = 136.00
Divide by 17: t = 8.00
Substitute this value into 2c + 5t = 45.00 ---> 2c + 5(8.00) = 45.00
2c + 40.00 = 45.00
2c = 5.00
c = 2.50
