Question

Lan collects stamps. He put 34% of his stamp collection in an album. If there are

204 stamps in the album, how many stamps does he have in his collection?

Answer 1

well, there are a total of "x" stamps in his collection, which oddly enough is 100%.

now, we know that 34% of "x" is 204, what the heck is "x"?

`\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 204& 34 \end{array} \implies \cfrac{x}{204}~~=~~\cfrac{100}{34} \\\\\\ \cfrac{ x }{ 204 } ~~=~~ \cfrac{ 50 }{ 17 }\implies 17x=10200\implies x=\cfrac{10200}{17}\implies x=600`