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A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 3 tables is $32. The total cost to rent 2 chairs and 12 tables is $83. What is the cost to rent each chair and each table ?

User Coxley
by
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1 Answer

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

Explanation:

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 solve for C

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

User Tnriverfish
by
8.5k points

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