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?
2 answers:
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! :)
Hey! :)
you went on the roller coaster 7 times and the ferris wheel 5 times
Hope this helps! :)
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