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30 December, 13:51

Eleni's landscaping company placed two orders. * 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. What is the price of one bush in dollars?

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  1. 30 December, 15:57
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    Price of One Bush is $ 23

    Explanation:

    Suppose

    bushes = B

    trees = T

    According to given condition:

    13B + 4T = 487 (Eq: 1)

    6B + 2T = 232 (Eq: 2)

    Multiplying (Eq: 2) by 2

    12B + 4T = 464 (Eq: 3)

    Substractign (Eq: 3) from (Eq: 1)

    13B + 4T - (12B + 4T) = 487 - 464

    13B + 4T - 12B - 4T = 23

    B = 23

    By putting value of B in (Eq: 1)

    (13 x 23) + 4T = 487

    299 + 4T = 487

    4T = 487 - 299

    4T = 188

    T = 188 / 4

    T = 47

    Price of One Bush = B = 23
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