Q:

Funtime Amusement Park charges $12.50 for administration and then $0.75 per ride. River’s Edge Park charges $18.50 for admission and then $0.50 per ride. For what number of rides is the cost the same at both parks?

Accepted Solution

A:
Both parks will have the same cost for 24 ridesStep-by-step explanation:The question requires linear equation to be solved.Let a be the admission fee and r be the number of ridesThenFor Funtime PArk the expression will be:Admission Charges =a = $12.50Ride charges = r = $0.7512.50+0.75rFor River's Edge Park the expression will be:Admission Charges =a = $18.50Ride charges = r = $0.5018.50+0.50rPutting both expressions equal:[tex]12.50+0.75r=18.50+0.50r\\Subtracting\ 0.50\ from\ both\ sides\\12.50+0.75r-0.50r=18.50+0.50r-0.50r\\12.50+0.25r=18.50\\Subtracting\ 12.50\ from\ both\ sides\\12.50+0.25r-12.50=18.50-12.50\\0.25r=6\\Dividing\ both\ sides\ by\ 0.25\\\frac{0.25r}{0.25}=\frac{6}{0.25}\\r=24[/tex]Both parks will have the same cost for 24 ridesKeywords: Linear EquationsLearn more about linear equations at:brainly.com/question/7265276brainly.com/question/7294502#LearnwithBrainly