I gathered together a bunch of my friends and a bunch of money. Read carefully on how I gave my money away. To the first person, I gave him a dollar and 1/7 of what was left over. To the second person, I gave two dollars and 1/7 of what was left over. To the third, I have 3 dollars and 1/7 of what was left over. If you follow my pattern, I give one more dollar to the next person and always 1/7 of what remained. For my last friend, however, I just gave him what was left over. All my friends got the same amount of money. How many friends were there, how much money did each get, and what was the total money I have out?
I gathered together a bunch of my friends and a bunch of money. Read carefully on how I gave my money away. To the first person, I gave him a dollar and 1/7 of what was left over. To the second person, I gave two dollars and 1/7 of what was left over. To the third, I have 3 dollars and 1/7 of what was left over. If you follow my pattern, I give one more dollar to the next person and always 1/7 of what remained. For my last friend, however, I just gave him what was left over. All my friends got the same amount of money. How many friends were there, how much money did each get, and what was the total money I have out?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I gathered together a bunch of my friends and a bunch of money. Read carefully on how I gave my money away. To the first person, I gave him a dollar and 1/7 of what was left over. To the second person, I gave two dollars and 1/7 of what was left over. To the third, I have 3 dollars and 1/7 of what was left over. If you follow my pattern, I give one more dollar to the next person and always 1/7 of what remained. For my last friend, however, I just gave him what was left over. All my friends got the same amount of money. How many friends were there, how much money did each get, and what was the total money I have out?
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