math 6 grade

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If 2 people have 60 shares of stock between them and you double the number of shares of the 1st person and half the number of shares of the 2nd person so that they both have equal shares. How do find the number of shares the 1st person has?

  • math 6 grade -

    let second person have x shares
    then first person has 60-x shares

    after doubling-halving .....

    second person has x/2
    first person has 2(60-x)

    then
    x/2 = 2(60-x)
    x = 4(60-x)
    x = 240 - 4x
    5x = 240
    x = 48

    so the first person has 12 shares and the second has 48

    check: (1/2)48 = 2(12)

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