SOLUTION: 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 co

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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(52790)   (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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