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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?

Respuesta :

Answer:

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

Step-by-step explanation:

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

As per the given condition,

[tex]5 \timesC + 3 \timesT[/tex] = 30................(1)

[tex]2 \timesC + 6 \timesT[/tex] = 42................(2)

Multiplying the equation (1) with 2 and (2) with 5, then subtracting, we get [tex]24 \timesT[/tex] = 210 - 60

[tex]24 \timesT[/tex] = 150

T = [tex]\frac{50}{8}[/tex]

T = 6.25

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

[tex]5 \timesC + 3 \times6.25[/tex] = 30

[tex]5 \timesC[/tex] = 30 - 3 \times6.25[/tex]

[tex]5 \timesC[/tex] = 11.25

C = [tex]\frac{11.25}{5}[/tex]

C = 2.25

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