Problema Solution

The total cost to rent 2 chairs and 12 tables is $105. The total cost to rent 5 chairs and 3 tables is $33. What is the cost to rent each chair and table?

Answer provided by our tutors

let


c = the cost to rent one chair


t = the cost to rent one table


The total cost to rent 2 chairs and 12 tables is $105:


2c + 12t = 105


The total cost to rent 5 chairs and 3 tables is $33:


5c + 3t = 33


by solving the system of equations:


2c + 12t = 105


5c + 3t = 33


we find:


c = $1.5 per chair


t = $8.5 per chair


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the cost to rent a chair is $1.5 per chair.


the cost to rent a table is $8.5 per table.