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28 January, 10:41

The total cost to rent 3 chairs and 2 tables is $17. The total cost to rent 8 chairs and 4 tables is $37. What is the cost to rent each chair and each table?

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  1. 28 January, 11:01
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    3+2 = 5

    8 + 4 = 12

    37 / 12 = 3.08

    5 / 17 = 3.04

    so i would say 3 dollars
  2. 28 January, 11:03
    0
    Let's make some variables to represent the cost of the tables and chairs.

    Let x be equal to the cost of one chair

    Let y be equal to the cost of one table

    The total cost for 3 chairs and 2 tables is $17.

    3x + 2y = 17

    The total cost for 8 chairs and 4 tables is $37.

    8x + 4y = 37

    Now we have our system of equations.

    Let's solve it.

    3x + 2y = 17

    8x + 4y = 37

    We can cancel the y's very easily. Then it would just leave us with the x's.

    Multiply the top equation by - 2.

    3x (-2) + 2y (-2) = 17 (-2) =

    -6x - 4y = - 34

    Then add the equations together.

    -6x - 4y = - 34

    8x + 4y = 37

    =

    2x = 3

    Then just divide both sides by 2.

    x = 1.5

    Substitute 1.5 into one of the equation. I'll pick 3x + 2y = 17

    3 (1.5) + 2y = 17; Start

    4.5 + 2y = 17; Multiply 3 and 1.5 together

    2y = 12.5; Subtract 4.5 from each side of the equation

    y = 6.25; Divide both sides by the coefficient of y. Which 2

    So, a chair costs $1.50 and a table costs $6.25.
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