"A bat and ball together cost $1.10. The bat costs $1.00 more than the ball. How much does the ball cost?"
This problem can be solved using a system of equations.
Create two equations that can be used to model this riddle.
Solve the system of equations created.
Let's assume the cost of the ball is x dollars.
The bat costs $1.00 more than the ball, so the cost of the bat is (x + $1.00).
According to the problem, the total cost of the ball and bat together is $1.10.
So, we can write the equation:
x + (x + $1.00) = $1.10
Simplifying this equation:
2x + $1.00 = $1.10
Subtracting $1.00 from both sides:
2x = $0.10
Dividing both sides by 2:
x = $0.05
Therefore, the ball costs $0.05.
or
bat + ball = 1.10
bat - ball = 1.00
----------------------- subtract
2 balls = 0.10
ball = 0.05