I need to solve this step-by-step.

Let me define the variable:
- Let the ball cost **x**

Setting up the equation:
- The bat costs **1.00 more than the ball**, so the bat costs **x + 1.00**
- Together they cost **1.10**

So: x + (x + 1.00) = 1.10

Solving:
- 2x + 1.00 = 1.10
- 2x = 0.10
- x = **0.05**

The ball costs **5 cents**.

To verify: If the ball costs 0.05, the bat costs 1.05 (which is 1.00 more than the ball). Together: 0.05 + 1.05 = 1.10 ✓
