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7 November, 02:04

A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not list the per-item price. What were the costs of one bush and one tree?

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  1. 7 November, 03:40
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    Cost of one bush is $23

    Cost of one tree is $47

    Explanation:

    Let cost of one bush be x

    Cost of one tree be y

    Total cost of first order was $487

    Total cost of second order was $232

    We know that

    13x + 4y = 487 ... (1)

    6x + 2y = 232 or 3x + y = 116

    y = 116 - 3x ... (2)

    Substituting y's value obtained in equation (2) in equation (1) we get,

    13x + 4 (116-3x) = 487

    487 = 13x + 464 - 12x

    x = 23

    Cost of one bush is $23

    Substitute x's value in equation (2) to get value of y

    y = 116 - 3 (23)

    = 47

    Cost of one tree is $47
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