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March 30, 2017

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B. 2 students are sharing a loaf of bread. Student A eats 2/3 of the loaf, then student B eats half of what remains, then student A eats 2/3 of what remains, then student B eats half of what remains, and so on. How much of the loaf will each student eat?

C. 3 students decide to share a loaf of bread. Student A eats half of the loaf, passes what remains to student B who eats half, and then onto student C who eats half, and then back to student A who eats half, and so on. How much of the loaf will each student eat?

CAN YOU HELP PLEASE

  • CALC 2 - ,

    1 at start
    a eats 2/3 ** 1/9 *** 1/54
    b eats 1/6 ** 1/36 ** 1/108
    first line is geometric series
    2/3 + 2/3(1/6) + (2/3)(1/6)^2 ...
    An = 2/3 +(1/6)^n-1
    sum of that series = a/(1-r)
    = (2/3)/(1-1/6) = 2/3 /5/6 = 4/5

  • CALC 2 - ,

    try similar for the rest

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