A numismatist decides to divide his coin collection between his children. The oldest gets 1/2 of the collection, the next gets 1/4, the next gets 1/5, and the youngest gets the remaining 49 coins. How many coins are in the collection?<br/><br/>Courtesy of <a href='http://www.brainbashers.com' target='_blank' rel='nofollow'>www.brainbashers.com</a><br/><br/>[Y]