Question 175576
Johnny was given x amount of money for his birthday. He spent all of that money in five stores. If he spent half of the money he had plus one dollar at every store, how much money did he originally have?
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1st store: spend (1/2)x+1
2nd store: spend (1/2)[(1/2)x+1]+1
3rd store: spend (1/2)[(1/2)[(1/2)x+1]+1]+1
4th store: spend (1/2)[(1/2)[(1/2)[(1/2)x+1]+1]+1]+1
5th store: spend (1/2)[(1/2)[(1/2)[(1/2)[(1/2)x+1]+1]+1]+1]+1
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The total amount of spending must = x
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That is a messy equation to solve; I'll leave it to you.
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Cheers,
Stan H.