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

hmmm, there is some missing information here I think

That is what I thought too...I was trying to help my cousin, but that is all the information that was on their worksheet.

well, maybe not.

ok so let's set this up

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

so 1/6x + 1/3x + 12 = X

so 12 = x - 1/6x - 1/3x or 12 = 1/2x so x = 12/.5 = 24

so the total number of books is 24, and precisely 12 mystery, 4 fiction and 8 nature

Thanks!!

no problem! the key assumption is that , that's all the types of books there are

the reason it works is they basically tell you that half the books are mystery , since if 1 - 1/3 - 1/6 = 1/2

good luck!

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