math

Owen has 20% more marbles than Danny. Danny has 40% less marbles than Connie. Owen has 21 marbles less than Connie. How many marbles does Danny have?

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  1. o = 1.2d
    d = 0.6c
    o = c-21

    c-21 = 1.2(0.6c)
    c = 75

    d = .6c = 45

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    posted by Steve
  2. Please explain O = 1.2d

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  3. Steve, could you please explain how you got c = 75

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  4. The o,c,d stand for Owen, Danny, Connie.

    We are told that Owen has 20% more than Danny, so o=1.2d (d + .2*d)

    Now, just start substituting...

    o = 1.2d
    o = c-21
    So,

    c-21 = 1.2d

    But, we also know that d = 0.6c, so

    c-21 = 1.2(0.6c)
    c-21 = .72c
    .28c = 21
    c = 75

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    posted by Steve
  5. actually, we don't really need to know what c is. We could have substituted the other way, but the arithmetic gets a bit messier:

    c-21 = 1.2d
    (d/.6)-21 = 1.2d
    d(1/.6 - 1.2) = 21
    d(1-.72)/.6 = 21
    .28d = 12.6
    d = 45

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    posted by Steve

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