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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

Respuesta :

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

Answer: $71

Step-by-step explanation:

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