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## A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 2 tables is $22. The total cost to rent 3 chairs

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A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 2 tables is $22. The total cost to rent 3 chairs and 8 tables is $71. What is the cost to rent each chair and each table?

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Mathematics
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2021-07-19T08:50:26+00:00
2021-07-19T08:50:26+00:00 2 Answers
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## Answers ( )

Price of Chair Each:

$1

Price of Table Each:

$8.5

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

Step by step:

A party rental company has chairs and tables for rent. The total cost to rent

A party rental company has chairs and tables for rent. The total cost to rent 4

chairs and 8

tables is $73

. The total cost to rent 2

chairs and 3

tables is $28

. What is the cost to rent each chair and each table?

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Edward C. answered • 02/10/15

TUTOR 5.0 (377)

Caltech Grad for math tutoring: Algebra through Calculus

ABOUT THIS TUTOR ›

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

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