SOLUTION: Mr. Locksmith has $1001, and his son has $1. Mr. Locksmith gives 1/4 of his money to his son, who, at the same time gives 1/4 of his money to his father. They repeat this procedure
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Question 252286: Mr. Locksmith has $1001, and his son has $1. Mr. Locksmith gives 1/4 of his money to his son, who, at the same time gives 1/4 of his money to his father. They repeat this procedure until the difference between their money is less than fifty dollars. How many times will they repeat the procedure?
a. 3 b. 4 c. 5 d. 6 e. 7 or more
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
1001*1/4
1/4*1
1-1001-(1001)/4+1/4=751
1-1/4+1001/4=251
2-751-751/4+251/4=626
2-251-251/4+751/4=376
3-626-626/4+376/4=563.5
3-376-376/4+626/4=438.5
4-563.5-563.5/4+438.5/4=532.25
4-438.5-438.5/4+563.5/4=469.75
5-532.25-532.25/4+469.75/4=516.625
5-469.75-469.75/4+532.25/4=485.375
516.625
485.375
31.25 difference
so c.5 is the answer
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