Final answer:
To find the cost of the ball, we set up an equation given that the total cost is $1.10 and the racket costs $1 more than the ball. Solving 2x + $1 = $1.10 leads to the conclusion that the ball costs 5 cents.
Step-by-step explanation:
The question asks us to solve a problem with two variables: the cost of a racket and the cost of a ball. It is given that the total cost of the racket and the ball is $1.10, and that the racket costs $1 more than the ball. We can set up two equations to solve this problem:
1. Let the cost of the ball be x dollars.
2. The racket then costs x + $1.
3. Since the total cost is $1.10, we set up the equation: x + (x + $1) = $1.10.
4. Simplifying this we get 2x + $1 = $1.10.
5. Subtract $1 from both sides gives us 2x = $0.10.
6. Finally, divide both sides by 2 gives us x = $0.05.
Therefore, the cost of the ball is 5 cents.