SOLUTION: Hi sean had some money.he used 2/3 of it to buy a watch and spent 3/4 of the remainder on a wallet.if the watch cost 65 dollars more than the wallet. how much did sean had left

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Question 1048590: Hi
sean had some money.he used 2/3 of it to buy a watch and spent 3/4 of the remainder on a wallet.if the watch cost 65 dollars more than the wallet.
how much did sean had left
how much money did sean have at first
thanks
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
sean had some money: x dollars
he used %282%2F3%29x to buy a watch
remainder will be x-%282%2F3%29x=%283%2F3%29x-%282%2F3%29x=%281%2F3%29x
and spent 3%2F4 of the remainder on a wallet, that is %283%2F4%29%281%2F3%29x=%283%2F12%29x
if the watch cost 65 dollars more than the wallet, we have
%282%2F3%29x=%283%2F12%29x%2B65 ......solve for x
4%282%2F%283%2A4%29%29x=%283%2F12%29x%2B65
%288%2F12%29x-%283%2F12%29x=65
%285%2F12%29x=65
5x=65%2A12
5x=780
x=780%2F5
x=156

so, a watch cost x=%282%2F3%29x->x=%282%2F3%29156->x=104dollars
remainder will be %281%2F3%29x=%281%2F3%29156->%281%2F3%29x=52
3%2F4 of the remainder on a wallet, that is %283%2F4%2952=39
so,a watch cost x=104 and a watch cost 39dollars
how much did sean had left: x-%28watch%2Bwatch%29cost=156-%28104%2B39%29=156-143=13
how much money did sean have at first :156 dollars