A common lament (although, not in this case). I just returned wiper blades two days ago; the guys pulled blades with two different arm attachments.
Glad to hear your own research paid off, and, if you're up for another interesting math problem …
You have a single mug of coffee and a small pitcher of cream. Each container has 10 ounces of liquid. You have a spoon which holds one ounce of liquid. Transfer one full spoonful of cream to the coffee, mix thoroughly and then transfer one full spoonful of the mixture back to the cream. Is there now more cream in the coffee or more coffee in the cream?