Question

It costs $12.50 to enter an amusement park and $1.50 to play each game. Solve an inequality to find the number of games, g, Cole can play if he has $35 to spend at the park. Enter your answer in the box.

Answer 1

Answer: he can play at most, 15 games at the park

Explanation:

Let g represent the number if games that Cole can play.

It costs $12.50 to enter an amusement park and $1.50 to play each game. It means that the total cost of entering the amusement park and playing g games is

12.5 + 1.5g

if he has $35 to spend at the park, then the inequality representing the number of games that he can play is

12.5 + 1.5g ≤ 35

1.5g ≤ 35 - 12.5

1.5g ≤ 22.5

g ≤ 22.5/1.5

g ≤ 15

Answer 2

Cole can play only 15 games if he has $35 to spend at the park

Explanation:

The sum of money Cole has with him as he goes to the park is $35.

As he goes to the park, 12.5 dollars is taken from him at the gate, leaving him with only $35 - $12.5 = $22.5

He now has only $22.5 to play games.

If each game costs $1.5 then he will be able to play
`(22.5)/(1.5)` games = 15 games only.

Hence, Cole will be only able to play 15 games if he goes to the park with $35