You have 50 tickets to ride the ferris wheel and the roller coaster. if you ride 12 times total, using 3 tickets for each ferris wheel ride and 5 tickets for each roller coaster ride, how many times did you go on each ride?

First, let's make a system of equations.

x = roller coaster
y = ferris wheel

x + y = 12
5x + 3y = 50

Solve for x in the first equation.

x + y = 12

Subtract y from both sides.

x = 12 - y

Substitute this into the second equation in place of x.

5(12 - y) + 3y = 50

Simplify.

60 - 5y + 3y = 50

Combine like terms.

60 - 2y = 50

Subtract 60 from both sides.

-2y = -10

Divide -2 on both sides.

y = 5

Substitute 5 in place of y in the first equation.

x + 5 = 12

Subtract 5 from both sides.

x = 7

Let's check the work by putting these values into the second equation.

5(7) + 3(5) = 50
35 + 15 = 50
50 = 50

So you can ride the ferris wheel 5 times and the roller coaster 7 times.

Hope this helps! :)