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A tal company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables is $22. The total cost to rent 5 chairs and 6 tables is $60.

the cost to rent each chair and each table?

1 Answer

7 votes

Answer:

$1.5 and $8.75

Explanation:

Given data

let tables be x and chairs be y

The total cost to rent 3 chairs and 2 tables is $22

so

3x+2y=22----------1

The total cost to rent 5 chairs and 6 tables is $60

so

5x+6y=60---------2

the system of equation is

3x+2y=22----------1X 6

5x+6y=60---------2X 2

18x+12y= 132

- 10x+12y=120

8x+0y= 12

8x= 12

divide both sides by 8

x= 12/8

x=$1.5

put x= 1.5 in 2

5(1.5)+6y=60---------2

7.5+6y=60

6y=60-7.5

6y=52.5

divide both sides by 6

y= 52.5/6

y=$8.75

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