Answered



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

5

chairs and

6

tables is

$53

. The total cost to rent

3

chairs and

2

tables is

$21

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

Verified Answer :

olemakpadu

Let the chair be x, and table be y

5 chairs and 6 tables = $53,       5x + 6y = 53

3 chairs and 2 tables = $21,        3x + 2y = 21


5x + 6y = 53..........(i)

3x + 2y = 21..........(ii)    x3


3(3x + 2y) = 321

9x + 6y = 63.............(iii)


5x + 6y = 53..........(i)
-
9x + 6y = 63.............(iii)
________________
-4x  + 0y = -10

-4x = -10

x = -10/-4

x = 2.5

Substitute x = 2.5, into 5x + 6y =53

5*2.5 + 6y = 53

12.5 + 6y = 53

6y = 53 - 12.5

6y = 40.5

y = 40.5/6

y = 6.75    

x = 2.5, y = 6.75

So the cost of renting chair is $2.50 and cost for table is $6.75

Hope this clarifies it.

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