Urgent: Maths Question (card-trading)

[yonk]

Hello, I'm asking if anyone can help me with my homework.

1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 make up a full set of cards. I'm going to my friend to trade my cards. I have the cards 5, 10, 10, 10, 10 and 10. I want to get the full set.
My friend will only let me trade if:
+ I give her two and she gives me three which add up to the same value as my two.
+ I do NOT ask for a card that is higher than the best one I give her (e.g. she will NOT trade two 9s for a 10, 1 and 7).
+ I do NOT scam her by trying to give her a 9 and a 6 for a 7, 6 and 2 (because you can see that it's the same thing as a one-for-two swap).
+ NO two-for-one swaps.

>Questions:
1) How many times did I trade with my friend?
2) Show how I may have completed my set. Clearly write down the set after each and every trade.
3) My other friend wants to trade with the friend I traded with. The guy has two 10s, three 9s and an 8. Show how he may have completed it. Remember that you still have to follow the four rules above.

It's very hard and I think that it is more of thinking than Maths. I'm pretty sure that this is the correct subforum to post it in since others don't seem to suit it. Can anyone help? It is very urgent. If you can't seem to find out the answer completely, please post anyway.
Thank you!

 

[yonk]

[---EDIT---]

 

[mcrae]

man! that was awsome, spent an hour on it straight. a pattern emerged where i noticed you have to trade card A and B (A>B with at least 2 digits in between them) for cards X Y Z where card X is <A but >b and cards Y Z were well, whatever. maybe not a perfect pattern but its what led me to this answer

start with: 5 10 10 10 10 10

trade: 10 5 for 9 2 4

now have: 2 4 9 10 10 10 10

trade: 10 4 for 8 1 5

now have: 1 2 5 8 9 10 10 10

trade: 10 2 for 6 3 3

now have: 1 3 3 5 6 8 9 10 10

trade: 10 3 for 2 7 4

now have: 1 2 3 4 5 6 7 8 9 10

let me know if you spot any typos or mistakes, hopefully not. ill see if i can get part C, no guarentees though

 

[yonk]

Thank you very much!
How old are you?

 

[mcrae]

your welcome im 18, 4rth/last year of highschool. i think i got this one too, here goes:

start with 8 9 9 9 10 10

trade 9 9 for 2 8 8

now have: 2 8 8 8 9 10 10

trade 10 2 for 6 3 3

now have 3 3 6 8 8 8 9 10

trade 8 6 for 7 5 2

now have 2 3 3 5 7 8 8 9 10

trade 8 3 for 6 4 1

now have 1 2 3 4 5 6 7 8 9 10

btw, what year is this? its retarded - it better be a bonus assignment or something worth a bunch of marks cause i agree, it is tough