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A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is $34 . The total cost to rent 4 chairs and 8 tables is $89 . What is the cost to rent each chair and each table?

Costtorenteachchair:$ ____

Costtorenteachtable:$____

Respuesta :

spooderkid
Let C = cost to rent each chair
Let T = cost to rent each table

4C + 8T = 73
2C + 3T =28

Multiply the 2nd equation by (-2) and then add the equations together

4C + 8T = 73
-4C - 6T = -56

2T = 17
T = 17/2 = 8.5

Plug this in to the 1st equation to slove for C

4C + 8(17/2) = 73
4C + 68 = 73
4C = 5
C = 5/4 = 1.25

So the cost to rent each chair is $1.25 and the  cost to rent each table is $8.50

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