The ball costs 5 cents, and the bat costs $1.05.

Here's the reasoning:Let's say the ball costs ( x ) dollars.The bat costs a dollar more than the ball, so it costs ( x + 1.00 ) dollars.Together, they cost $1.10, so we have the equation: [ x + (x + 1.00) = 1.10 ]Combining like terms gives us: [ 2x + 1.00 = 1.10 ]Subtracting 1.00 from both sides gives us: [ 2x = 0.10 ]Dividing by 2 gives us: [ x = 0.05 ]So, the ball costs 5 cents.