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anonymous

  • 5 years ago

Sonja has 1/6 fiction books, 1/3 nature books, and 12 mystery books. How many books does she have in all?

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  1. sandra
    • 5 years ago
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    hmmm, there is some missing information here I think

  2. anonymous
    • 5 years ago
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    That is what I thought too...I was trying to help my cousin, but that is all the information that was on their worksheet.

  3. sandra
    • 5 years ago
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    well, maybe not.

  4. sandra
    • 5 years ago
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    ok so let's set this up

  5. sandra
    • 5 years ago
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    if the total number of books is X, then we know that 1/6x are fiction, 1/3x are nature, and 12 are mystery

  6. sandra
    • 5 years ago
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    so 1/6x + 1/3x + 12 = X

  7. sandra
    • 5 years ago
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    so 12 = x - 1/6x - 1/3x or 12 = 1/2x so x = 12/.5 = 24

  8. sandra
    • 5 years ago
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    so the total number of books is 24, and precisely 12 mystery, 4 fiction and 8 nature

  9. anonymous
    • 5 years ago
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    Thanks!!

  10. sandra
    • 5 years ago
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    no problem! the key assumption is that , that's all the types of books there are

  11. sandra
    • 5 years ago
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    the reason it works is they basically tell you that half the books are mystery , since if 1 - 1/3 - 1/6 = 1/2

  12. sandra
    • 5 years ago
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    good luck!

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