Making Change Problem:

February 16th, 2015 at 2:46:39 PM permalink
Ayecarumba
Member since: Oct 24, 2012
Threads: 89
Posts: 1744
In circulating US currency, what is the highest price an item can be that must be paid for with at least two bills, and correctly changed with exactly two coins? Alternately, with the same conditions, what is the lowest price?
Edit: corrected wording. Thanks DJ.
February 16th, 2015 at 3:09:31 PM permalink
DJTeddyBear
Member since: Oct 24, 2012
Threads: 5
Posts: 265
I must be missing something. This is too easy.



Highest price with at least two bills? Infinity plus 98¢

How about exactly two bills? Then it's $199.98 with tax.


Lowest? $0.00. Pay with two $1 notes, get two $1 coins in return.

If you think that's a weasel answer, then $1.25. Pay with two $1 notes, get a half dollar and quarter in change.
Ignorance is bliss and knowledge is power. But having only some facts can get you into trouble!
February 16th, 2015 at 3:40:42 PM permalink
Dalex64
Member since: Mar 8, 2014
Threads: 3
Posts: 3687
I'm sure there is something about the question that I don't understand.

the largest number of dollars you can think of that does not exceed the total bill circulation plus 98 cents would requre AT LEAST TWO bills and would return two pennies. So I'm sure I'm not understanding something there.


2.25, paid for with a 2 and a 1. Anything smaller that might be changed with half dollar or full dollar coins could be paid for with either a single one dollar or two dollar bill, breaking the 'at least two bills' rule. Things change if you can pay in bills and coins


there is no price that requires at least two bills, as you could pay any price in coins


Original post changed, so disregard these answers.
"Everyone is entitled to his own opinion, but not to his own facts." Daniel Patrick Moynihan
February 16th, 2015 at 3:42:08 PM permalink
Dalex64
Member since: Mar 8, 2014
Threads: 3
Posts: 3687
Quote: DJTeddyBear
I must be missing something. This is too easy.



Highest price with at least two bills? Infinity plus 98¢

How about exactly two bills? Then it's $199.98 with tax.


Lowest? $0.00. Pay with two $1 notes, get two $1 coins in return.

If you think that's a weasel answer, then $1.25. Pay with two $1 notes, get a half dollar and quarter in change.


You could pay the buck and a quarter with a two dollar bill.

So my new answers are
199.98 and 2.25


Again assuming that you are
not allowed to break the question by paying in all coins
"Everyone is entitled to his own opinion, but not to his own facts." Daniel Patrick Moynihan
February 16th, 2015 at 4:47:54 PM permalink
Nareed
Member since: Oct 24, 2012
Threads: 346
Posts: 12545
Anything requiting change of 6, 11, 26 or 51 cents uses up two coins.

BTW:

Q: What can you do with a $1 coin?
A: Take it to the bank and exchange it for a real dollar.
(Shamelessly stolen from "The Simpsons")
Donald Trump is a one-term LOSER