Our middle school is having a fall carnival. Admission into the carnival is $3 and each game inside the carnival costs $.25. Write an inequality that represents the possible number of games that can be played having $10. What is the maximum number of games that can be played?

Answer 1

Let x be the number of games that can be played with $10.

Each game costs $0.25, so the total cost of playing x games is 0.25x.

The total cost including the admission fee is $10, so we have the inequality:

0.25x + 3 ≤ 10

Subtracting 3 from both sides:

0.25x ≤ 7

Dividing both sides by 0.25:

x ≤ 28

Therefore, the maximum number of games that can be played is 28.