If a bat and ball together cost $1.10 and the bat costs $1.00 more than the ball, how much does the ball cost?

To determine the cost of the ball, let's break down the problem using the information provided. We know that the total cost of the bat and ball together is $1.10, and the bat costs $1.00 more than the ball.

Let's denote the cost of the ball as "x." Then, according to the information, the cost of the bat would be "x + $1.00." When we combine the costs, we get the equation:

x (cost of the ball) + (x + $1.00) (cost of the bat) = $1.10.

Simplifying this equation, we have:

2x + $1.00 = $1.10.

Subtracting $1.00 from both sides gives us:

2x = $0.10.

Dividing both sides by 2 results in:

x = $0.05.

Thus, the cost of the ball is $0.05. This makes sense because if the ball costs $0.05, then the bat, which is $1.00 more, would cost $1.05. Together, they sum up to the total of $1.10.

This reasoning clarifies why the answer indicating that the ball costs