Question

A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 3 tables is $30. The total cost to rent 2 chairs and 6 tables is $42. What is the cost to rent each chair and each table?

Answer 1

Cost to rant each chair = $2.25 and each table = $6.25

Explanation:

Let the rent one chair is C and the rent for one table is T.

As per the given condition,

`5 *C + 3 *T` = 30................(1)

`2 *C + 6 *T` = 42................(2)

Multiplying the equation (1) with 2 and (2) with 5, then subtracting, we get
`24 *T<strong>` = 210 - 60

`24 *T<strong>` = 150

T =
`(50)/(8)`

T = 6.25

Putting the value of T in equation (1) we get,

`5 *C + 3 *6.25` = 30

`5 *C` = 30 - 3 \times6.25[/tex]

`5 *C` = 11.25

C =
`(11.25)/(5)`

C = 2.25