algebra word problem

Question

you have 50 ride tickets. you need 3 tickets to ride the ferris wheel and 5 tickets to ride the coaster. You ride 12 times. How many times did you ride the roller coaster? 

5?

7?

10?

18?

Answer 1

let f = # rides on Ferris wheel; then 12-x must be # rides on the rollercoaster.

 

If you used up exactly all 50 of the tickets, then 3f + 5(12-f) = 50.

 

Solve for f.