This is a classic brain teaser! Here's how to solve it.

The ball costs **$0.05** (5 cents).

Here's why:

*   The ball costs $0.05.
*   The bat costs $1.00 more, which makes it $1.05.
*   Together, they cost $1.05 + $0.05 = **$1.10**.

**The Common Mistake:**

Most people's first guess is that the ball costs $0.10. But if that were true, the bat would cost $1.10 ($1.00 more), and the total would be $1.20, which is incorrect.
