Question

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?

Answer 1

Both parks will have the same cost for 24 rides

Step-by-step explanation:

The question requires linear equation to be solved.

Let a be the admission fee and r be the number of rides

Then

For Funtime PArk the expression will be:

Admission Charges =a = $12.50

Ride charges = r = $0.75

12.50+0.75r

For River's Edge Park the expression will be:

Admission Charges =a = $18.50

Ride charges = r = $0.50

18.50+0.50r

Putting both expressions equal:

$12.50+0.75r=18.50+0.50r\\Subtracting\ 0.50\ from\ both\ sides\\12.50+0.75r-0.50r=18.50+0.50r-0.50r\\12.50+0.25r=18.50\\Subtracting\ 12.50\ from\ both\ sides\\12.50+0.25r-12.50=18.50-12.50\\0.25r=6\\Dividing\ both\ sides\ by\ 0.25\\\frac{0.25r}{0.25}=\frac{6}{0.25}\\r=24$

Both parks will have the same cost for 24 rides

Keywords: Linear Equations

Learn more about linear equations at:

• brainly.com/question/7265276
• brainly.com/question/7294502

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