SOLUTION: Hope you can help me. Thx for ur time! :D Mr. Zerman went shopping. In the first store he spent half of his money plus an additional dollar. At t he second store he spent half

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Question 935041: Hope you can help me. Thx for ur time! :D
Mr. Zerman went shopping. In the first store he spent half of his money plus an additional dollar. At t
he second store he spent half of his remaining money plus an additional dollar. This pattern continued until he left the fifth store with no money left. How much money did he have before he started shopping?
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Mr. Zerman went shopping. In the first store he spent half of his money plus an additional dollar. At the second store he spent half of his remaining money plus an additional dollar. This pattern continued until he left the fifth store with no money left.
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Start:: x
after 1st store: (x/2)-1 = (x-2)/2
after 2nd store: (x-2)/4 - 1 = (x-2-4)/4 = (x-6)/4
after 3rd store:: (x-6)/8 -1 = (x-6-8)/8 = (x-14)/8
after 4th store:: (x-14)/16 - 1 = (x-14-16)/16 = (x-30)/16
after 5th store:: (x-30)/32 - 1 = (x-30-32)/32 = (x-64)/32
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Equation:
(x-64)/32 = 0
x = 64
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How much money did he have before he started shopping?
Ans:: $64.00
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Cheers,
Stan H.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Hope you can help me. Thx for ur time! :D
Mr. Zerman went shopping. In the first store he spent half of his money plus an additional dollar. At t
he second store he spent half of his remaining money plus an additional dollar. This pattern continued until he left the fifth store with no money left. How much money did he have before he started shopping?
With M as amount he started with, after leaving the 5th store,

amount he had was: %28M+-+62%29%2F32, and since no money was left, we can say that: %28M+-+62%29%2F32+=+0

M - 62 = 0 -------- Cross-multiplying 

M, or money he started out with, was: $highlight_green%2862%29

You can do the check!! 

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