Samuel is going to a carnival that has games and rides. Each game costs $2 and each
ride costs $5. Samuel spent $60 altogether on 18 games and rides. Determine the
number of games Samuel played and the number of rides Samuel went on.

Assume that he played games for the whole time being.

this is the total cost he would pay if he played games the whole time.
2 x 18 = 36

this is the difference between playing games for the whole time VS the actual amount he paid.
60 - 36 = 24

as you can see from above, he needs to pay extra $24 to fit the $60 in the word problem.

the difference between a ride and a game is 5-2 = 3

so, to find out how many rides he played, ( since we already assumed that all he played were games just now )

24 / 3 = 8

CHECK :
8 x 5 = $40 ( rides )
2 x 10 = $20 ( games )

hope this helpedd