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A party rental company has chairs and tables for rent. The total cost to rent 2

ID: 3138871 • Letter: A

Question

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $107. The total cost to rent 5 chairs and 3 tables is $38. What is the cost to rent each chair and each table? Write and solve a system of equation to answer the question A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $107. The total cost to rent 5 chairs and 3 tables is $38. What is the cost to rent each chair and each table? Write and solve a system of equation to answer the question

Explanation / Answer

Let the cost of chair is x

Let the cost of table is y

Given that coat of 2 chairs and 12 tables is 107

2x+12y=107--eq(1)

Cost of 5 chairs and 3 tables is 38

5x+3y = 38-- eq(2)

Now solving

eq(1)-4eq(2)

=? (2x +12y)-(20x+12y) =107- 152

=? -18x=-45

=? x = 5/2= 2.5

Now solving for y

2(2.5)+12y=107

=? 12y= 102

=? y =8.5

Cost of chair =$2.5

Cost of table= $8.5

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