Question

One eighth of Tonys books are mystery books he has 3 mystery books how many books does Tony have in all

Answer 1

as a matter of fractions, 1 whole is hmm usually same/same.

but for this specific case, is 8/8, 8/8 is 1/1 or just 1 whole.

so the whole amount of books Tony has is 8/8 then.

we know that 1/8 of that is mystery books, we also know that is really 3 books, so 1/8 is 3 books in his collection, how many are there in all?


`\bf \begin{array}{ccll}\stackrel{ whole}{fraction}&amount\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ (1)/(8)&3\\\\ (8)/(8)&x \end{array}\implies \cfrac{\quad(1)/(8) \quad }{(8)/(8)}=\cfrac{3}{x}\implies \cfrac{1}{8}\cdot \cfrac{8}{8}=\cfrac{3}{x} \\\\\\ \cfrac{1}{8}=\cfrac{3}{x}\implies x=\cfrac{8\cdot 3}{1}`