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29 September, 16:46

A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of the house

-when the company spends 2 hours to clean floors and 3 hours to clean the rest of a house, the total is $84.

-when the company spends 1 hour to clean floors and 4 hours to clean the rest of a house, the total is $87

Which ordered pair represents the hourly charges to clean floor and to clean the rest of the house?

A. (12,20)

B. (15,18)

C. (20,12)

D. (18,15)

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Answers (1)
  1. 29 September, 18:04
    0
    (15,18)

    Step-by-step explanation:

    write two equations with the information provided.

    2x + 3y = 84

    x + 4y = 87

    use the property of substitution to answer.

    x + 4y = 87, x = 87 - 4y

    2 (87 - 4y) + 3y = 84

    174 - 8y + 3y = 84

    174 - 84 = 8y - 3y

    90 = 5y

    90/5 = y

    y = 18

    Add the value of Y to an original equation. Solve for X

    2x + 3 (18) = 84

    2x + 54 = 84

    2x = 84 - 54

    2x = 30

    x = 30/2

    x = 15
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