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.

Respuesta :

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


Number of rides and Number of games are 8 and 10.

Given that;

Cost of each game = $2

Cost of each rides = $5

Total amount spend by Samuel = $60

Total number of games and rides = 18

Find:

Number of rides and games

Computation:

Assume;

Number of games = a

Number of rides = b

So,

2a + 5b = 60 ......... Eq1

and

a + b = 18 ......... Eq2

Eq2 × 2

2a + 2b = 36 ........ Eq3

From Eq3 and Eq1

3b = 24

b = 8

Number of rides = 8 rides

Number of games = 10 games

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