Question 1070837: Fifty pennies are placed side by side . Each second penny is replaced by a nickel, each third coin is replaced by a dime, each fourth is replaced by a quarter , and each fifth coin is replaced by a half dollar. What is the value of the fifty coins ? Thanks for any help .
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website!
I won't do it for you yet. I'll just tell you how to do it. If you have
trouble, tell me in the thank-you note form below and I'll get back to
you by email. (BTW, I never charge any money since I do this for fun.)
Suppose all the replacing of the coins has been done and we have 50 coins
left to right numbered 1 through 50, some of each denomination of coin.
The coins numbered with multiples of 5 are half dollars.
The coins numbered with multiples of 4 which are not multiples of 5 are
quarters.
The coins numbered with multiples of 3 which are not multiples of 5 or 4
are dimes.
The coins numbered with multiples of 2 which are not multiples of 5, 4 or 3
are nickels.
The rest are pennies.
Can you get it now? If not, let me know and I'll help you.
Edwin
Answer by ikleyn(52788)  (Show Source):
You can put this solution on YOUR website! .
Honestly, I do not see very deep sense in this problem.
NEVERTHELESS.
Answer. 584 cents.
See the table below.
1-st 2-nd 3-rd 4-th 5-th
# step step step step step
-----------------------------------------------
1 1 1 1 1 1
2 1 5 5 5 5
3 1 1 10 10 10
4 1 5 5 5 5
5 1 1 1 25 25
6 1 5 10 10 10
7 1 1 1 1 1
8 1 5 5 5 5
9 1 1 10 10 10
10 1 5 5 25 50
11 1 1 1 1 1
12 1 5 10 10 10
13 1 1 1 1 1
14 1 5 5 5 5
15 1 1 10 25 25
16 1 5 5 5 5
17 1 1 1 1 1
18 1 5 10 10 10
19 1 1 1 1 1
20 1 5 5 25 50
21 1 1 10 10 10
22 1 5 5 5 5
23 1 1 1 1 1
24 1 5 10 10 10
25 1 1 1 25 25
26 1 5 5 5 5
27 1 1 10 10 10
28 1 5 5 5 5
29 1 1 1 1 1
30 1 5 10 25 50
31 1 1 1 1 1
32 1 5 5 5 5
33 1 1 10 10 10
34 1 5 5 5 5
35 1 1 1 25 25
36 1 5 10 10 10
37 1 1 1 1 1
38 1 5 5 5 5
39 1 1 10 10 10
40 1 5 5 25 50
41 1 1 1 1 1
42 1 5 10 10 10
43 1 1 1 1 1
44 1 5 5 5 5
45 1 1 10 25 25
46 1 5 5 5 5
47 1 1 1 1 1
48 1 5 10 10 10
49 1 1 1 1 1
50 1 5 5 25 50
Sum = 584 cents.
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