It doesn't take a line of three-question-format reasoning to realize the sheer superiority of your headgear.

Sale #1: 1.7 buds

http://www.tf2outpost.com/trade/24748137

Sold for 24 keys

Sale #2: 1.4 * 0.9 = 1.3 buds

http://www.tf2outpost.com/trade/24108107

Sold for a KaW Backbiter's Billycock and less than half a key in sweets( http://www.tf2outpost.com/trade/24123150 )

Billycock: http://www.tf2outpost.com/item/440,3284005381,108,5

Fez: http://www.tf2outpost.com/item/440,3277948601,223,5

Sale #3: 1.8 buds

http://www.tf2outpost.com/trade/23945407

Sold for 25 keys.

Backpack before: http://backpack.tf/profiles/76561198100503731?time=1417287303

Backpack after: http://backpack.tf/profiles/76561198100503731?time=1418371200

Mini for the Backbiters: 1.4 buds

http://backpack.tf/vote/id/54c674c3b98d88cc328b4601

Thank you, have a nice day.