Playland park charges 7 dollars admission plus 75 crnts per ride. Funland park charges 12.50$ admission plus 50 cents per ride. For what number of rides is the total cost the same at both parks?

Both the parks has a fixed cost (admission fee) and a variable cost (per ride cost). We can model 2 equations in "x" [let x be number of rides], equate them and find "x".

Playland Park:

Fixed Cost = 7

Variable Cost = 0.75x (in dollars)

Equation = 7 + 0.75x

Funland Park:

Fixed Cost = 12.50

Variable Cost = 0.50x (in dollars)

Equation = 12.50 + 0.50x

Now we equate and solve for x:

[tex]7+0.75x=12.50 + 0.50x\\0.75x-0.50x=12.50-7\\0.25x=5.50\\x=\frac{5.50}{0.25}\\x=22[/tex]

Hence,

the cost would be same for both parks for 22 rides

Playland park charges 7 dollars admission plus 75 crnts per ride. Funland park charges 12.50$ admission plus 50 cents per ride. For what number of rides is the total cost the same at both parks?​

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Playland park charges 7 dollars admission plus 75 crnts per ride. Funland park charges 12.50$ admission plus 50 cents per ride. For what number of rides is the total cost the same at both parks?