The Question: The boy paid $11 for a bottle with a a cork. A bottle costs $10 more than a cork. How much does cork cost?

Answer: Remember it says the bottle is worth $10 more and so if the cork is worth $1 then the bottle is worth $10 which is only $9 more. And so if the cork is worth $0.50 cents then the bottle is worth $10.50 which is $10 more.

50 cents. 10$ more makes it $10.50 + 0.50 for the cork. $11.