Fun- time Amusement park charges  for admission and then  per ride. Rivers edge park charges  for admission and then  per ride. For What number of rides is the cost the same at both parks?

The correct answer is: The number of rides at which the cost the same at both parks is 24.

Ans :- The number of rides at which the cost the same at both parks is 24.
Explanation :-
Given the admission fee and per ride cost of both the parks .
Let n be the no.of rides at which the costs are the same at both parks.
Step 1:- find the total cost for n rides at Fun- time Amusement park.
$12.50 for admission and then $0.75 per ride
So, total cost = admission fee + no.of rides × cost per ride.
Total cost at Fun- time Amusement park = $12.50 + n($0.75)
Step 2:- find the total cost for n rides at Rivers edge park.
$18.50 for admission and then $0.50 per ride
So, total cost = admission fee + no.of rides × cost per ride.
Total cost at Rivers edge park  = $18.50 + n($0.50)
Step 3:- Equate both the costs to find n
$18.50 + n($0.50) =  $12.50 + n($0.75)
$18.50 -  $12.50 = n($0.75) - n($0.50)
$6 = n($0.25)
n = 6 × 4
∴n = 24
∴The number of rides at which the cost the same at both parks is 24.

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