Question

Your favorite amusement park has two options. Option 1 charges an entrance fee of $55.00 plus $2.00 for each ride you go on. Option 2 charges an entrance fee of $15.00 plus $6.00 for each ride you go on. For what number of rides would the two options cost the same amount?

Answer 1

The answer is 10 rides to cost the same amount

Answer 2

10 rides

Explanation:

x = number of rides

Option 1 = $55 + $2x

Option 2 = $15 + 6x

Ride #1 - Option 1 = $57 Option 2 = $21

Ride #2- Option 1 = $59 Option 2 = $27

Ride #3- Option 1 = $61 Option 2 = $33

Ride #4- Option 1 = $63 Option 2 = $39

Ride #5- Option 1 = $65 Option 2 = $45

Ride #6- Option 1 = $67 Option 2 = $51

Ride #7- Option 1 = $69 Option 2 = $57

Ride #8- Option 1 = $71 Option 2 = $63

Ride #9- Option 1 = $73 Option 2 = $69

Ride #10- Option 1 = $75 Option 2 = $75