Math

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Sally has 1/3 as many stickers as Mary. Jane has 3/4 as many stickers as Sally. If the three girls have 114 stickers altogether, how much stickers does Jane have?

  • Math -

    Recall what I just said in the previous post?
    This time I will reverse that idea to avoid fractions, start with the largest.
    Also I noticed that the LCD for 1/3 and 3/4 is 12, so ....

    let Mary's amount be 12x
    then Sally has (1/3)(12x) or 4x
    and Jane has (3/4)(4x) or 3x

    12x + 4x + 3x = 114
    19x = 114
    x = 6

    Mary has 72
    Sally has 24
    Jane has 18

    or the traditional way:
    Mary ---- x
    Sally ----(1/3)x or x/3
    Jane ----(3/4)(x/3) or x/4

    x + x/3 + x/4 = 114
    times 12
    12x + 4x + 3x = 1368
    19x = 1368
    x = 72
    notice I get the same answers

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