SOLUTION: Auggie spent all of his money in 5 stores. In each store, he spent $1 more than one-half of what he had when he went in. How many dollars did Auggie have when he entered the first

Question 136627: Auggie spent all of his money in 5 stores. In each store, he spent $1 more than one-half of what he had when he went in. How many dollars did Auggie have when he entered the first store?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
He starts with x dollars, so in the first store he spends . So when he leaves the first store he has .

So in the second store he spends so he has left.

And so on.

I'll leave it to you to verify that when he leaves the 5th store he has dollars remaining, and by the conditions of the problem this expression must be equal to zero (because he spent all of his money). If , then =>

Check:
Start: 62
Half of 62 is 31 plus 1 is 32, leaving 30
Half of 30 is 15 plus 1 is 16, leaving 14
Half of 14 is 7 plus 1 is 8, leaving 6
Half of 6 is 3 plus 1 is 4, leaving 2
Half of 2 is 1 plus 1 is 2, leaving 0
RELATED QUESTIONS
Karen spent all but $8.00 of her savings in three stores. In each store she spent $2.00... (answered by venugopalramana)

On Saturday Silvio went shopping. He spent half of his money and 5$ more in the sports... (answered by josgarithmetic,ikleyn)

Hi I missed this question at an employment exam. I would like to see how you would solve... (answered by stanbon,jojo14344,josmiceli,shannonb)

Frank bought supplies for school. In the first store, he spent half of his money plus... (answered by ankor@dixie-net.com)

7. Frank bought supplies for school. In the first store, he spent half of his money plus (answered by jorel1380)

Karen spent all but $8.00 of her savings in three stores. In each store she spent $2.00... (answered by Nate)

Raj, Ismail and Carol went shopping. Raj spent 0.25 of the total amount that Ismail and... (answered by greenestamps,MathTherapy)

a person spent 3/5 of his money in first store, and then $2 on parking. he then spent 1/3 (answered by htmentor)

Solomon went to the shopping centre to buy supplies for his mathematics project. He spent (answered by Fombitz,advanced_Learner)