SOLUTION: A customer walks into a bakery, where there is a try and brownies. The customer says I値l take half the brownies in the try, plus half a brownie. After his order if fulfilled, a

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Question 900304: A customer walks into a bakery, where there is a try and brownies. The customer says I値l take half the brownies in the try, plus half a brownie. After his order if fulfilled, a second customer walks in and says, I値l take half the brownies in the try, plus half a brownie, after second customer order is fulfilled a third customer walks in and says, I値l take half the brownies in the tray, plus half a brownie after third customer have been through there are no brownies remaining and the try is empty. How many brownies were in the tray on day one, just before the first customer came in
Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
write as You Read along
n - (n/2 + 1/2) = n/2 - 1/2 (left 9 1/2)
(n/2-1/2)/2 - 1/2 = (n/2 -2)/2 (left 3)
(n/2 - 2)/4 - 1/2 = 0
solve:
(n/2 - 2)/4 = 1/2
n/2 - 2 = 8
n/2 = 10
n = 20

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the number of brownies in the tray
at the start
------------------
The 1st customer takes
brownies
That means there are


brownies left
------------------
The 2nd customer takes



That means there are



brownies left
------------------
The 3rd customer takes



That means there are



brownies left
-----------------
You are told also that



---------------
There were 7 brownies before 1st customer came in
check:
1st customer took

There were
left
-----------------
The 2nd customer took

There were
left
------------------
The 3rd customer took

There were
left
OK



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