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16 November, 01:57

28. $400 is divided between Kas, Jaspar and Jae so that Kas has twice

as much as Jaspar and Jaspar has three times as much as Jae. How

much does Jaspar receive?

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Answers (1)
  1. 16 November, 04:09
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    Let's define our variables before anything else:

    Kas = S

    Jaspar = R

    Jae = E

    $400 is divided between Kas, Jaspar and Jae

    This means S + R + E = 400

    Kas has twice as much as Jaspar

    This means that S = 2R

    Jaspar has three times as much as Jae

    This means that R = 3E

    Because both of our smaller formulas have R, let's replace everything in the first formula with R

    S + R + E = 400

    plug in values

    2R + R + R/3 = 400

    multiply everything by 3 to get rid of the denominator

    6R + 3R + R = 1200

    add

    10R = 1200

    divide

    R = 120

    So Jaspar receives $120
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