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Math (Algebra)

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The sum of beads owned by John, Bob, and Dale is 273. The ratio of John's beads and Dale's is 8:5, and Dale's beads are 10/13 times Bob's. How many more beads does John own than Dale?

  • Math (Algebra) -

    John=112 beads
    Bob=91 beads
    Dale=70

    So john have 42 bead more than Dale

  • Math (Algebra) -

    John's number --- 8x
    Dale's number --- 5x

    Bob's number --- y
    but Dale's = (10/13)Bob's
    5x = (10/13)Bob
    Bob = 5x(13/10) = 13x/2

    finally:
    8x + 5x + 13x/2 = 273
    16x + 10x + 13x = 546
    39x = 546
    x = 14

    John has 112
    Dale has 70
    Bob has 91

    So John has 42 more than Dale

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