Owen and Charollet's mom gives them the same amount of money to spend at the fair they both spend all of their money Owen goes on 8 rides and spends 5 dollars on pizza while Charollet goes on 5 rides and spends 6.50 dollars on pizza and ice cream write the equation for this situation how much does each ride cost show all your work

1 answer

Let's assume the amount of money their mom gave them is "m" dollars.

Owen spent 5 dollars on pizza and went on 8 rides. Let's represent the cost of each ride as "x". So the total amount Owen spent on rides is 8x. Therefore, the equation for Owen's spending is:
5 + 8x = m

Charollet spent 6.50 dollars on pizza and ice cream. Let's represent the cost of each ride as "x" (which is the same as Owen's situation). She went on 5 rides, so the equation for Charollet's spending is:
6.50 + 5x = m

To determine the cost of each ride, we can solve for "x" in either equation.

Let's solve for "x" in Owen's equation:
8x = m - 5
x = (m - 5) / 8

Therefore, the cost of each ride for Owen is (m - 5) / 8 dollars.

Now let's solve for "x" in Charollet's equation:
5x = m - 6.50
x = (m - 6.50) / 5

Therefore, the cost of each ride for Charollet is (m - 6.50) / 5 dollars.