Problema Solution
You have 50 tickets to ride the Ferris wheel and roller coaster at a local carnival. You must use 3 tickets for each Ferris wheel ride, and 5 tickets for each roller coaster ride. If you are able to ride 12 times, how many times did you go on each ride?
Answer provided by our tutors
let
x = number of times on roller coaster
y = number of times on ferris wheel
you are able to ride 12 times
x + y = 12
you must use 3 tickets for each Ferris wheel ride, and 5 tickets for each roller coaster ride.
the total of tickets used for x rides on the roller coaster + the total of tickets used for y rides on the ferris wheel = the total number of tickets that is 50
5x + 3y = 50
by solving the system of equations
x + y = 12
5x + 3y = 50
we find
x= 7 rides on the roller coaster
y = 5 rides on the ferris wheel
7 rides on the roller coaster.
5 rides on the ferris wheel.