A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 2 tables is 24 dollars. The total cost to rent 3 chairs and 5 tables is 45 dollars. What is the cost to rent each chair and each table?
+1223 The cost to rent each chair is c and the cost to rent each table is t. We can write the system of equations
cost to rent 6 chairs and 2 tables ==> 6c + 2t = 24 . (1)
cost to rent 3 chairs and 5 tables ==> 3c + 5t = 45 . (2)
Multiply equation (1) by 5 and equation (2) by -2:
30c + 10t = 120
-6c - 10t = -90
So, 24c = 30 and c = 1.25. Therefore, t = 8.25.
