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?
A. 0.25x + 3 ≤ 10; 28 games
B. 0.25x − 3 ≤ 10; 52 games
C. 0.25x − 3 < 10; 52 games
D. 0.25x + 3 < 10; 28 games
We can start by setting up an inequality to represent the possible number of games that can be played. Let x represent the number of games. We have $10 to spend, so we can write the inequality as:
0.25x + 3 ≤ 10
Subtracting 3 from both sides, we get:
0.25x ≤ 7
Dividing both sides by 0.25, we get:
x ≤ 28
Thus, the maximum number of games that can be played is 28.
Therefore, the correct answer is A. 0.25x + 3 ≤ 10; 28 games.