A Bat and a Ball Together Cost $1.10. The Bat Costs $1.00 More than the Ball. How Much Does the Ball Cost?

Let's solve this puzzle using simple algebra:

Let the cost of the ball be x. Then, the cost of the bat is x + 1. According to the given information, the total cost of the bat and the ball is $1.10. So, we can write: x + (x + 1) = 1.10 Simplifying the equation: 2x + 1 = 1.10 Subtracting 1 from both sides: 2x = 0.10 Dividing both sides by 2: x = 0.05

Therefore, the cost of the ball is $0.05.

  1. What is the cost of the bat? $0.05 more than the ball, which costs $0.05.
  2. What is the total cost of the bat and the ball? $1.10
  3. If the cost of the ball is doubled, what would be the new total cost? $1.20
  4. If the cost of the bat is reduced by 50%, what would be the new total cost? $0.80
  5. If both the cost of the ball and the cost of the bat are increased by 10%, what would be the new total cost? $1.21
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