A cricket bat and a ball together cost $1.10. The bat costs exactly $1.00 more than the ball. How much does the ball cost?
Correct: $0.05
Let B be the cost of the bat and X be the cost of the ball.
From the problem statement, we can set up two equations:
1. B + X = $1.10 (The total cost)
2. B = X + $1.00 (The bat costs $1.00 more than the ball)
Now, substitute the second equation into the first one:
(X + $1.00) + X = $1.10
Combine the 'X' terms:
2X + $1.00 = $1.10
Subtract $1.00 from both sides of the equation:
2X = $0.10
Divide by 2 to find the cost of the ball:
X = $0.05
So, the ball costs $0.05. This means the bat costs $0.05 + $1.00 = $1.05. And $1.05 (bat) + $0.05 (ball) = $1.10 (total), which satisfies all conditions.