Question

"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.

Answer 1

or
bat + ball = 1.10
bat - ball = 1.00
----------------------- subtract
2 balls = 0.10
ball = 0.05

Answer 2

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.

Answer 3

Yes, that is another way to solve the problem using a system of equations. By subtracting the second equation from the first equation, we eliminate the bat variable and find the value of the ball.