Question 935041
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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