SOLUTION: A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $107. The total cost to rent 5 chairs and 3 tables is $38. What is the cost

Algebra ->  Linear-equations -> SOLUTION: A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $107. The total cost to rent 5 chairs and 3 tables is $38. What is the cost      Log On


   

Question 1092527: A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $107. The total cost to rent 5 chairs and 3 tables is $38. What is the cost to rent each chair and each table?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
chats-c, tables=t
2c+12t=107
5c+3t=38
multiply the bottom by -4 to eliminate t
-20c-12t=-152
add that and the top
-18c=-45
c=$2.50
substitute into first
5+12t=107
12t=102
t=$8.50
check in second equation
5(2.50)+3(8.50)=38
$2.50 per chair and $8.50 per table.