Albert spent all of his money in five stores. In each stores,he spent $1.00 more than half of what he had when he entered thatstore. How much money did Albert have when he entered thefirst store?

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Rijpv7 · Accepted Answer

You need to work the problem backwards. Your generic equation isgoing to be:y = (      y    2  ) - 1 and that is tosay that y represents the amount of money Albert has and so by thisyou can calculate how much money he has after each store. Wellsince you need to calculate how much he had in the first place youneed to substitute 0 in for y but not for the (      y    2  ) because 0 doesnot equal -1. To explain that better, y depends on       y    2   and not viceversa when going backwards. If you were trying to go forwards (i.e.find how much money he had after 5 stores when given an initialvalue) then you would say that       y    2   depends on y. In this case itdoes not and therefore y depends on       y    2  .0 = (      y    2  ) - 11 = (      y    2  )y =2 therefore Albert had $2 prior to entering the 5th store. 2 is yournew y value to go to the next step2 = (      y    2  ) - 13 =       y    2  y =6 as you see, he had $6 prior to entering the fourth store6 = (      y    2  ) - 17 =       y    2  y =14 he had $14 prior to entering the third store14 = (      y    2  ) - 115 =       y    2  y =30 he had $30 prior to entering the second store30 = (      y    2  ) - 131 =       y    2  y =62 he had $62 prior to entering the first store so this is your finalanswer

Albert spent all of his money in five stores. In each stores,he spent $1.00 more than half of what he had when he entered thatstore. How much money did Albert have when he entered thefirst store?

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