An estate of $656,000is left to three siblings. The eldest receives 6 times as much as the youngest. The middle sibling receives $15,000 mo

Question

An estate of $656,000is left to three siblings. The eldest receives 6 times as much as the youngest. The middle sibling receives $15,000 more than the youngest. How much did each receive?

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Abigail 2 weeks 2021-09-13T14:56:17+00:00 1 Answer 0

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    2021-09-13T14:57:42+00:00

    Step-by-step explanation:

    If x is the amount the eldest receives, y is the amount the middle receives, and z is the amount the youngest receives, then:

    x + y + z = 656000

    x = 6z

    y = z + 15000

    Substituting the last two equations into the first:

    (6z) + (z + 15000) + z = 656000

    8z + 15000 = 656000

    8z = 641000

    z = 80125

    Solving for the remaining variables:

    x = 6z = 480750

    y = z + 15000 = 95125

    The eldest receives $480,750, the middle receives $95,125 and the youngest receives $80,125.

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