SOLUTION: Mr. Bill saved money the following way. On the first day, he put $1 in the bank. On the second day, he put $3 in the bank. On the fifth day, he put $5 in the bank. On the seven

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Question 332887: Mr. Bill saved money the following way. On the first day, he put $1 in the bank. On the second day, he put $3 in the bank. On the fifth day, he put $5 in the bank. On the seventh day he put $7 in the bank. If he continues to save in this way, how much money will he have saved after he puts $99 in the bank?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


This doesn't make any sense, except in the most trivial way. In every case, he is saving a prime number of dollars on a prime number day. So you cannot mean, "how much has he saved on the day that he deposits $99?" because 99 is not a prime number. Hence, you must mean the literal interpretation of the question, which is how much has he saved when he has saved $99? $99 -- what else?

The only other possibility is that you meant to say, "What is the amount he deposited and on which day did he make the deposit so that the total amount saved is $99?" If THAT is what you meant, start by adding:



then keep adding the next higher prime number one at a time and keep checking the sum. When the sum is 99, the last number you added is both the amount added and the cardinal number of the day since he started his savings program.

John

My calculator said it, I believe it, that settles it


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