HELP ME WITH THIS WORD PROBLEM? ALG

The first theme park charges $20 for entrance and $0.25 per ride. Their competitor, the second theme park charges $15 for entrance and $0.75 per ride. When will the two have the same price for entrance and ride ticket?

a) 35 tickets
b) 86 tickets
c) 5 tickets
d) 10 tickets

Idk how to set up the equation, can you show me how u got ur answer? Because what i did was just plug in the tickets but im having a hard time figuring out because they never match.

HELP. THANK YOUUU

Key to solving word problems is to not try to work it in your head but write down what you know while reading it.
VARIABLES

let f = the theme's park entrance rates
let r = # of ride ticket
let x = first theme park
let y = second theme park

so the price for the first theme park is the entrance fee (f) plus the cost for a ride times the ride ticket (r)

f=20

x = f + .25r
x = 20 +.25r

now for second theme park and it is the same idea but with different numbers

f= 15

y = f + .75r
y= 15 + .75r

When will two have SAME price.
set x=y
plug in variables

20 + .25r = 15 + .75r
solve for r
combine like terms to get
5 = .5r
divide by .5 which is pretty much multiply by 2
so r = 10
r = # number of ride tickets
10 ride tickets = D

You can let "x" be the number of rides taken.

So the $20 and $15 stay constant and you get the equations
$20 + 0.25x = (since you want to find when they are the same) $15 + 0.75x

So at "x" number of rides, those should be equal, so the answer is 10.

15x.75^35 and then 20x.25^35
15x.75^86 and then 20x.25^86 etc.