Question

THE DAILY TIMES REPORTS THAT 15% OF IT READER ALSO READS A RIVAL NEWSPAPE. THE DAILY HERALD REPORTS THAT 5250 PEOPLE READ BOTH NEWSPAPER. WHAT IS THE TOAL READERSHIP OF THE DAILY TIMES?

Answer 1

well, we know that 15% read a rival paper, namely the Daily Herald, and the Herald says that 5250 folks read both, so that must be the 15% the Times is talking about. So we can say that 15% is really 5250, if that's so then 100% of readership to the Times only must be

`\begin{array}{ccll} \%&Amount\\ \cline{1-2} 15 & 5250\\ 100& x \end{array} \implies \cfrac{15}{100}~~=~~\cfrac{5250}{x} \\\\\\ \cfrac{3}{20} ~~=~~ \cfrac{5250}{x}\implies 3x=(20)(5250)\implies x=\cfrac{(20)(5250)}{3}\implies x=104270`