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10 May, 17:35

paul and amy each improved their yards by planting daylilies and shrubs they bought their supplies from the same store paul spent 45$ on 3 dayliles and 3 shurbs amy spent 75$ on 3 dayliles and 8 shrubs what is the cost of one daylile and the cost of one shrub

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  1. 10 May, 20:32
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    the cost of 1 daylile = 9

    the cost of 1 shrub = 6

    Step-by-step explanation:

    Paul spent 45$ on 3 dayliles and 3 shurbs

    Equation 1

    3x + 3y = $45

    Amy spent 75$ on 3 dayliles and 8 shrubs

    Equation 2

    3x + 8y = $75

    solve them

    3x + 3y = $45

    3x = 45 - 3y

    x = (45 - 3y) / 3

    Put values of x in equation 2

    3 (45 - 3y) / 3 + 8y = 75

    45 - 3y + 8y = 75

    45 + 5y = 75

    5y = 75 - 45

    5y = 30

    y = 30/5

    y = 6

    find x,

    3x + 3y = $45

    3x + 3 (6) = 45

    3x = 45 - 18

    3x = 27

    x = 9

    So

    the cost of 1 daylile = 9

    the cost of 1 shrub = 6
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