Mike and Danielle each improve their yards by planting hospice and shrubs. They bought their supplies from the same store. Mike spent $71 on

Question

Mike and Danielle each improve their yards by planting hospice and shrubs. They bought their supplies from the same store. Mike spent $71 on for hospice and seven Travis. Danielle spent $53 on 13 hospice and three shrubs. Find the cost of one hospice and the cost of one shrub

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Audrey 2 weeks 2021-09-09T00:14:04+00:00 2 Answers 0

Answers ( )

  1. Charlotte
    0
    2021-09-09T00:15:13+00:00

    Answer: each hospice costs $4 and each shrub costs $9

    Step-by-step explanation:

    Let x represent the cost of one hospice.

    Let y represent the cost of one shrub.

    Mike spent $71 on four hospice and seven Travis. This means that

    4x + 7y = 71- – – – – – – – – – – – -1

    Danielle spent $53 on 13 hospice and three shrubs. This means that

    13x + 3y = 53- – – – – – – – – – – 2

    Multiplying equation 1 by 13 and equation 2 by 4, it becomes

    52x + 91y = 923

    52x + 12y = 212

    Subtracting, it becomes

    79y = 711

    y = 711/79

    y = 9

    Substituting y = 9 into equation 1, it becomes

    4x + 7 × 9 = 71

    4x + 63 = 71

    4x = 71 – 63

    4x = 8

    x = 8/4 = 2

  2. Charlotte
    0
    2021-09-09T00:15:40+00:00

    Answer: $71

    Step-by-step explanation:

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