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Simple word problem

  1. Dec 9, 2016 #1
    1. The problem statement, all variables and given/known data
    Every 6th person who arrives at a book sale receives a free calendar and every 8th person receives a free book. Which of the first 50 people receive a book and a calendar?

    2. Relevant equations
    Kindly check and the solution please. Can't really figure it out.

    3. The attempt at a solution
    Every 14th person a free calendar and book.
     
  2. jcsd
  3. Dec 9, 2016 #2

    BvU

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    How did you come to this number 14 ?
     
  4. Dec 9, 2016 #3
    It is my son who came up with 14. I'm not good at math unfortunately.
     
  5. Dec 9, 2016 #4

    BvU

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    Then we do the counting: numbers 6, 12, 18 etc get a calendar.
    Numbers 8, 16, etc get a book.

    Continue the series and find the folks that get both !
    See if there is a way to do it when they ask for the first 1000 customers ...
     
  6. Dec 9, 2016 #5

    PeroK

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    I can imagine a good, old argument in the bookstore: "my son was the 14th person in the store, so he wants his fee calendar and his free book".
     
  7. Dec 9, 2016 #6
    I came up with 24 and 48. Is this correct? Thanks for helping!
     
  8. Dec 9, 2016 #7

    BvU

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    That's the idea. Numbers like 24 and 48 can be divided by 8 and by 6.
     
  9. Dec 9, 2016 #8

    PeroK

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    Hopefully the bookstore owner would agree with that and there would be no argument!
     
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