Question

A party rental company has chairs and tables for rent. The total cost to rent 12 chairs and 2 tables is $39. The total cost to rent 3chairs and 5 tables is $57. What is the cost to rent each chair and each table?00Х$?Cost to rent each chair: slCost to rent each table: s]

Answer 1

let

x = cost of single chair

y = cost of single table

`\begin{gathered} 12x+2y=39 \\ 3x+5y=57 \\ 2y=39-12x \\ y=(39)/(2)-6x \\ \\ 3x+5((39)/(2)-6x)=57 \\ 3x+(195)/(2)-30x=57 \\ -27x=57-(195)/(2) \\ -27x=97.5 \\ x=(-40.5)/(-27) \\ x=\text{ 1.5} \\ \\ 12x+2y=39 \\ 12(1.5)+2y=39 \\ 18+2y=39 \\ 2y=39-18 \\ y=(21)/(2) \\ y=10.5 \end{gathered}`

cost of rent of each chair = $1.5

cost of rent of each table = $10.5