I need to set up equations based on the given information.

Let me define:
- Ball cost = x
- Bat cost = y

From the problem:
1. y + x = 1.10 (total cost)
2. y = x + 1.00 (bat costs $1.00 more than ball)

Substituting equation 2 into equation 1:
(x + 1.00) + x = 1.10
2x + 1.00 = 1.10
2x = 0.10
x = 0.05

Therefore, the ball costs **$0.05** (5 cents).

To verify: The bat costs $1.05, and $1.05 + $0.05 = $1.10 ✓
And the bat costs $1.00 more than the ball: $1.05 - $0.05 = $1.00 ✓
