I need to set up an equation to solve this problem.

Let me say the ball costs x dollars.

Since the bat costs $1.00 more than the ball, the bat costs (x + 1.00) dollars.

The total cost is $1.10, so:
x + (x + 1.00) = 1.10

Simplifying:
2x + 1.00 = 1.10
2x = 0.10
x = 0.05

Let me verify this:
- Ball costs: $0.05
- Bat costs: $0.05 + $1.00 = $1.05
- Total: $0.05 + $1.05 = $1.10 ✓

The ball costs $0.05 (or 5 cents).
