Coinage Math Challenge

This contest is about determining the number of coins adding up to a total dollar amount, how many coins of each denomination, and which type(s) of each denomination for the included coins.

Each member can submit one guess per day.

Prize is one Proof 1963 Franklin half dollar. I need to take a picture of it and upload it.

The total sum of the coins is $30.67

The nitty gritty of what your options are to determine the coins in this contest.

Only the denominations and types listed below are included in the total dollar amount.
Half cents: Capped Bust, Classic Head, Braided hair
Cents: Draped Bust large cent, Classic Head large cent, Liberty Head large cent, Indian head cent, Lincoln cent
Two cents
Three cents: Silver and nickel
Five cents: Bust half dime, Seated Liberty half dime, Shield nickel, Liberty nickel, Buffalo nickel, Jefferson nickel
Dimes: Bust, Seated Liberty, Barber, Mercury, Roosevelt
Twenty cents
Quarters: Bust, Seated Liberty, Barber, Standing Liberty, Washington
Half dollars: Bust, Seated Liberty, Barber, Walking Liberty, Franklin
Silver Dollars: Bust, Seated Liberty, Trade, Morgan, Peace
Gold dollars: Liberty head, Indian Princess head
Quarter Eagles: Capped Bust, Classic head, Liberty head, Indian
Half Eagles: Capped Bust, Classic head, Liberty head, Indian
Eagles: Capped Bust, Liberty head, Indian
Double Eagles: Liberty head, St. Gaudens

For clarification there is no Flying Eagle cents, three or four dollar gold pieces or any coinage after 1960 in this contest.

It does not matter if there are different sizes, varieties or design changes for any denomination or type. For example, a No Motto or With Motto Seated Liberty half dollar is just a Seated liberty half dollar. A large cent is the same as a small cent for that denomination you just have to figure which might be included. Metal content changes within each type will not matter. There won’t be a copper nickel and a bronze Indian head cent. If there is an Indian head cent it will be just that, an Indian head cent.

Not all of the above denominations will be included.

Not all of the above types for each denomination will be included.

For each denomination there could be more than one of each type.

For example, if there are five dimes then there could be one or more of the following types, Bust, Seated Liberty, Barber, Mercury, or Roosevelt. There will not be one of each.

At least one copper, bronze, nickel, silver and gold metal coin types will be included.

In addition to the clues above a new clue will be posted on June 4th and then every four days thereafter.

When the new clue is posted any member who has correctly guessed one or more of any of the following will be posted along with that members’ name, number of coins by denomination or type, or total number of coins. For example if a guess was three half dollars and that was correct then that will be posted. If a guess was one Bust quarter and that was correct then that will be posted.

I will be checking this thread every day in the afternoon/evening sometime and will respond to any questions as necessary. Good Luck!

 

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This would be a lot easier if you just mailed me the proof Franklin and pretend I won..

 

So, we need to guess how many of each is in that $30.67???
I need to refresh my math......

 

BWAHAHAHAHA!

 

Yes. How many of each denomination and then which of the types of that denomination are included and how many for each of them.

For example, let's say there are a total of 10 coins of a single denomination and there are five types of that denomination. From the clues already given you know all five types are not included so, how many of four of the five are there and then how many of each of those. It is not going to be easy but it can be done in time with additional clues and luck. The winner will have earned the prize.

A bonus tip to kick things off. Try to determine how many of the different denominations which are included first. Fifteen different denominations are listed, the silver and gold dollars are not considered the same denomination for this challenge. More than three of the denominations listed are not included.

 

1 x Double Eagle (St. Gaudens)
5 x Morgan Dollar
3 x Peace Dollar
1 x Seated Half Dollar
1 x Walking Liberty Half Dollar
1 x Franklin Half Dollar
1 x Barber quarter
1 x Standing Liberty quarter
4 x Mercury Dime
1 x Roosevelt Dime
1 x Buffalo Nickel
1 x Jefferson Nickel
1 x 3 cent Nickel
1 x 2 cents
1 x Indian Head Cent
1 x Wheat Cent

25 coins

 

1x st. gaudens double eagle
1x indian head eagle
1x franklin half
1x mercury dime
1x buffalo nickel
1x 2c piece

6 coins

 

43 coins, total 30.67
2 half cents one each capped bust and braided hair,
7 cents, 2 draped bust, 1 Liberty head, 3 Indian head, and one Lincoln
1 two cent
4 three cents, one silver and three nickel
3 five cents, 1 bust half dime, 1 seated liberty half dime and one liberty nickel
3 dimes, I bust dime, 1 seated liberty, and one barber
6 quarter dollars, 1 capped bust, 3 seated liberty, and 2 standing liberty
6 half dollars, 1 capped bust, 4 seated, 1 Barber
7 silver dollars, 1 bust, 1 s.l., 1 trade, and 4 Morgans,
1 gold dollarm an Indian princess
1 Indian quarter eagle,
1 Indian Half eagle,
1 Indian Eagle,

Thanks for the contest

 

Some very good guesses wcoins, jlogan and chip, thank you for participating. How good you'll find out on the 4th when I post my next clue.

 

half cents-2 capped bust and 2 braided hair,
1draped bust, 2Liberty head, 2Indian head, and 2Lincoln
2two cent
3three cents, 1 silver and 2nickel
4 nickels, 1 bust half dime, 1 seated liberty half dime and 1liberty nickel, 1 buffalo
5 dimes, I bust dime, 1 seated liberty, and one barber, 2 mercs
5quarters, 1 capped bust, 2 seated liberty, and 2 standing liberty
6 half dollars, 1 capped bust, 2 barbers 3 seated
7 dollars, 1 bust, 1 seated liberty, 1 trade, and 3 Morgans, 1 peace
1 gold dollar (Indian princess)
1 Indian quarter eagle,
1 Indian Half eagle,
1 Indian Eagle,
* oh and total 43 coins *
Contests are always appreciated! I was going to try to do this mathematically but then i edited ~language rules guessed!

 

21 Coins


1 Classic Head half cent
1 Braided hair half cent
1 Classic Head large cent
1 Liberty Head large cent
1 Lincoln cent
1 Two cents
1 Silver three cent
1 nickel three cent
1 Jefferson nickel
1 Barber dime
1 Mercury dime
1 Roosevelt dime
1 Twenty cents
1 Standing Liberty quarter dollar
1 Washington quarter dollar
1 Barber Half dollar
1 Franklin Half dollar
1 Trade Dollar
1 Capped Bust quarter eagle
1 Indian Half eagle
1 St. Gaudens double eagle

 

4 Half cents: 1 Capped Bust, 1 Classic Head, 2 Braided hair
6 Cents: 2 Classic Head large cent, 3Liberty Head large cent, 1 Indian head cent,
3 Two cents
4 Three cents: 2 Silver and 2 nickel
9 Five cents: 1 Shield nickel, 2 Liberty nickel 5 Buffalo nickel, 1 Jefferson nickel
8 Dimes: 1Bust, 2 Barber, 5 Mercury,
5 Quarters: 1 Seated Liberty, 3Standing Liberty, 1Washington
4 Half dollars: 1 Bust, 1Seated Liberty, 1Barber, 1Walking Liberty,
7 Silver Dollars: 1Seated Liberty, 1Trade, 2 Morgan, 3Peace
4 Gold dollars: 4 Indian Princess head
2 Quarter Eagles:2 Indian
2 Half Eagles: 2 Indian

58 coins
Didn't relize I get a guess a day!

 

chip correctly guessed 6 half dollars and 1 Eagle though the types and/or quantities for each are not correct. His guess contains all of the denominations included in the $30.67 plus some which are not.

wcoins correctly guessed the quantity of the following coins:
Jefferson nickel (1), Mercury dimes (4), Franklin half dollar (1), and Peace dollars (3). Six of the denominations in his guess are included in the $30.67.

jlogan correctly guessed the Franklin half dollar (1) and 1 Eagle which is not the correct type. Five of the six denominations in his guess are included in the $30.67.

Kasia correctly guessed the following:
Jefferson nickel (1), Barber dime (1), Franklin half dollar (1). Six of the denominations in his guess are included in the $30.67.

ace71499 in his two guesses correctly guessed 8 of the denominations included in the $30.67. The number of Barber dimes (1), Half dollars (6), Peace dollars (3), and 1 Eagle.

Today's clue, four of the five coin denominations/types with a quantity of 1 have been identified. The remaining coin with a quantity of one is a different denomination than the four identified in these members' guesses. All the remaining coins have more than one in the total.

Good luck in your next guesses!

 

1 x Eagle Liberty -10.00
------------------------------------------
3 x Gold Dollars - Liberty Heads - 3.00
-------------------------------------------
4 x Quarter Eagles - 2 Liberty, 2 Indian - 10.00
----------------------------------------------------------
3 x Peace dollars - 3.00
1 x Trade Dollar - 1.00
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5 x Walking Liberty half dollars -2.50
1 x Franklin half dollar -0.50
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1 x Jefferson nickel - 0.05
------------------------------------------
4 x Mercury dimes -0.40
1 x Barber dime -0.10
-----------------------------------------
4 x 2 cent piece- 0.08
----------------------------------------
4 x Coronet cent = 0.04
----------------------------------------
32 coins

 

Sorry wcoins, I copied and pasted yours as a format because I loved it so much
1 x Capped Bust Eagle -10.00
-------------------------------------------
Quarter Eagles
1 classic head and 1 liberty head-5
----------------------------------------------
1 x Morgan Dollars - 1.00
3 x Peace dollars - 3.00
7 x Trade Dollars - 2.00
-------------------------------------------
5 x Walking Liberty half dollars -2.50
1 x Franklin half dollar -0.50

-------------------------------------------
1 x Jefferson nickel - 0.05
1 x Shield nickel- .05
------------------------------------------
3 x Mercury dimes -0.30
1 x Seated libery
1 x Barber dime -0.10
-----------------------------------------
31 3 cent nickels- .93
--------------------------------------
4 x 2 cent piece- 0.08
----------------------------------------
1 x Coronet cent = 0.01
3 x Lincoln Cent = 0.03
----------------------------------------
1 Capped bust 1/2 cent .005
3Classic head 1/2 cents .015
38 coins

 

No problem just review your numbers - no way 7 Trade Dollars equals 2.00. Your total coins is also off (38)

 

52 coins, 30.67$
One liberty eagle,
10 silver dollars, 7 Morgans and 3 peace
5 Gold dollars all Liberty
6 half dollars, 2 capped bust 3 walkers and one Franklin
7 quarter dollars, one seated liberty, 3 standing liberty, three barbers
5 dimes, one barber 4 mercs
no 3 cents no twenty cents, no two cents, no half cents
6 5 cents, one jefferson, 5 buffalos,
12 one cents, all lincolns

 

It wont let me edit it but there are 69 coins

 

Eagle- Cap Bust $10
1/2 Eagle Ind Hd= $5
$1: Peace #3= $3
Morgan #3= $3
Bust $= #3= $3
$1/2= Frank #1= .50

 

oops, I hit enter some how:

continued:
Eagle- Cap Bust $10
1/2 Eagle Ind Hd= $5
$1: Peace #3= $3
Morgan #3= $3
Bust $= #3= $3
$1/2= Frank #1= .50
Barber #4 2.00
Bust = .50
$1/4: Bust #1= .50
Barber #4 $2.00
Stand Lib: #1 $.50
$.10 = Barber = #1= .10
Merc = #4= .40
Jeff = .05
Indian cent #2 = .02
Dr Bust cent= #4 .04
Lib Hd Cent = #3= .03
Half cent- Braided Hair= #6= .03

=$30.67