Final answer:
The ball costs 15 cents, and the baseball bat costs $1.15. We find this by setting up and solving a simple algebraic equation based on the information provided.
Step-by-step explanation:
The question is a classic brain teaser in which we are asked to determine the cost of a baseball and a baseball bat given that together, they cost $1.30 and the bat costs exactly one dollar more than the ball. To solve this, let's denote the cost of the ball as x dollars. Hence, the cost of the bat would be x + $1.00 since the bat is one dollar more expensive than the ball.
Together, they cost $1.30, so we can set up the following equation:
x + (x + $1.00) = $1.30
Combining like terms, we get:
2x + $1.00 = $1.30
Subtracting $1.00 from both sides:
2x = $1.30 - $1.00
2x = $0.30
Dividing both sides by 2 gives us:
x = $0.15
Therefore, the ball costs 15 cents, and the bat, being one dollar more expensive, costs $1.15.