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?

$1.5 and $8.75

Step-by-step 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=221

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

so

5x+6y=602

the system of equation is

3x+2y=221X 6

5x+6y=602X 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=602

7.5+6y=60

6y=60-7.5

6y=52.5

divide both sides by 6

y= 52.5/6

y=$8.75

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.