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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?

 Feb 20, 2021
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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.

 Feb 20, 2021

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