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18 December, 13:56

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 5 tables is $35. The total cost to rent 8 chairs and 3 tables is $38.00. What is the cost to rent each chair and each table?

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  1. 18 December, 14:59
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    Answer: The cost of renting a chair is $2.5 while the cost of renting a table is $6

    Step-by-step explanation: Let the cost chair rental be called h, while the cost of table rental shall be called t. To rent two chairs and five tables cost $35, so we can express this as

    2h + 5t = 35

    Also to rent eight chairs and three tables cost $38, and this too can be expressed as

    8h + 3t = 38

    We now have a pair of simultaneous equations as follows

    2h + 5t = 35 - - - (1)

    8h + 3t = 38 - - - (2)

    We shall use the elimination method since all the unknown variables have coefficients greater than 1.

    Multiply equation (1) by 8 and multiply equation (2) by 2. We now have

    16h + 40t = 280 - - - (3)

    16h + 6t = 76 - - - (4)

    Subtract equation (4) from (3)

    34t = 204

    Divide both sides of the equation by 34

    t = 6

    Having calculated that, substitute for the value of t into equation (1)

    2h + 5 (6) = 35

    2h + 30 = 35

    Subtract 30 from both sides of the equation 2h = 5

    Divide both sides of the equation by 2

    h = 5/2 or (2.5)

    Therefore the cost of rental for each chair (h) is $2.5 and the cost of rental for each table (t) is $6
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