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

Respuesta :

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. 
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