difficult problem: In the central bank, a teller must....

[owenthakkar]

In the central bank, when there is a request for money, a teller must first take notes from the sack containing notes of size 3 rallods only and then take notes from the sack with notes of size 5 rallods only. The teller cannot then come back to the sack with 3 rallods notes but she can take as many notes from either sack as she wishes provided there is at least one note taken from each sack. One day, a customer came to the bank and told a teller that he wished to withdraw N rallods from his account. After a while the teller figured out how she should act to give the customer the exact amount he requested but she also discovered that there was only one way she could do this. What is N? find all possible solutions

any help would be appreciated

 

[stapel]

What have you tried? What progress have you made?

Thank you.

Eliz.

 

[Denis]

Geesh...can't you change that to dollars :twisted:

Obviously, the customer wanted to withdraw 8 of them things;
only one way : 3 from sack1, then 5 from sack2;
cashier went to sack1 first, then to sack2, according to them banking rules...

 

[TchrWill]

Re: difficult problem: In the central bank, a teller must...

"...but she also discovered that there was only one way she could do this.

What is N?

Find all possible solutions??????????????? ( I thought there was only one way???????

The teller cannot then come back to the sack with 3rallod notesbut she can take as many notes from either sack as she wishes "provided there is at least one note taken from each sack."

3 sack...5 sack...3 sack...5 sack......N
....1.........1...........0...........0..........8
....1.........1...........1...........1.........16
....1.........1...........1...........2.........21
....1.........1...........2...........2.........19
....1.........1...........2...........1.........16
....1.........1...........1...........3.........26
....1.........1...........2...........3.........19
....1.........1...........3...........3.........16
....1.........1...........3...........1.........22
....1.........1...........3...........2.........30
....1.........1...........1...........4.........31
....1.........1...........2...........4.........34
....1.........1...........1...........5.........36
....1.........1...........2...........5.........39
....1.........1...........3...........5.........42
....1.........1...........4...........5.........45.
....1.........1...........5...........5.........48
....1.........1...........5...........4.........43
....1.........1...........5...........3.........38
....1.........1...........5...........2.........33
....1.........1...........5...........1.........28

And so on ad infinitum.

WHere did I go wronf, if I did or something is wrong with the wording.