A Bat and a Ball Cost $1.10 in Total. the Bat Costs a Dollar More Than the Ball. How Much Does the Ball Cost?

Explanation

Let B be the cost of the ball and let T be the cost of the bat. We know:

• B + T = $1.10 (total cost)
• T = B + $1.00 (bat cost is $1 more than the ball)

Substitute the second equation into the first equation:

B + (B + $1.00) = $1.10

Combine like terms:

2B + $1.00 = $1.10

Subtract $1.00 from both sides:

2B = $0.10

Divide both sides by 2 to isolate B:

B = $0.05

Therefore, the ball costs $0.05 and the bat costs $1.05 (B + $1.00).