Bob won big at bingo last night, he walked away with $800. the first thing bob does is to take a cab to his mother's house. he gives the cab driver $20 and tells him to keep the change. bob then gives his mother 1/3 of his remaining winnings and decides to walk down the street to his aunt's house to share his winnings with her as well. bob gives his aunt one-fourth of what money he has left. lastly, bob gives one-sixth of what he has left to his best friend and keeps the rest for himself. how much money does bob get to keep? show ur work

Initial amount of money: $800
After paying the cab driver $20   ;    money = $800 - $20 = $780
Giving his mother 1/3 of the remaining amount, leaving him with 2/3 of it.
                             money = ($780) x (2/3) = $520
Giving his aunt 1/4 of the remaining amount, leaving him with 3/4 of it.
                           money = ($520)(3/4) = $390
Giving his friend 1/6 of the remaining amount, leaving him with 5/6 of it.
                             money = ($390)(5/6) = $325
Therefore, the amount of money Bob gets to keep is equal to $325.