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March 28, 2017

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You make a bag of candy for yourself before you go to the movies. The bag consists of many different pieces of candy with Skittles, M&Ms, Life Savers, and Sour Patch Kids. Half of your pieces of candy are Skittles. A fourth of the remaining pieces of candy is M&Ms. Three-fourths of what is left after the Skittles and M&Ms is Life Savers. The remaining pieces of candy are Sour Patch Kids. What percent of the total pieces of candy are Sour Patch Kids?

  • Math Help - ,

    total = 100
    sk = 50 and 50 are left
    mm = .25*50 = 12.5 and 37.5 are left
    LS = .75*37.5= 28.125 and 9.375 are left
    so 9.375 percent are Sour Patch

  • Math Help - ,

    let the total be x

    Skittles = x/2
    M&M = (1/4)(x/2) = x/8
    accounted for is: x/2 + x/8 = 5x/8
    leaving 3x/8
    Life Safers = (3/4)(3x/8) = 9x/32
    so far accounted for = 5x/8 + 9x/32 = 29x/32
    leaving 3x/32 as Sour Patch Kids.

    percentage of SPK = (3x/32) / x
    = 3/32 = .09375 or
    9.375%

    check: x/2 + x/8 + 9x/32 + 3x/32 = x(1/2 + 1/8 + 9/32 + 3/32)
    = x(32/32) = x

  • Math Help - ,

    Bn
    Hhy

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