Question

Your town is having a fall carnival. Admission into the carnival is $3.00 and each game inside costs $0.25. Write an inequality that represents the possible number of games that can be played if you have $10.00. What is the maximum number of games that can be played?

Answer 1

The inequality for the possible number of games played within a $10.00 budget, after a $3.00 admission fee, is 3.00 + 0.25g ≤ 10.00. Solving for g, we find the maximum number of games that can be played is 28.

Step-by-step explanation:

To represent the possible number of games that can be played at the fall carnival within a $10.00 budget, we need to create an inequality. First, we subtract the admission fee from the total amount of money available.

Let g = the number of games played. The cost for each game is $0.25, and the admission fee is $3.00. The inequality that represents this situation is:

3.00 + 0.25g ≤ 10.00

To find the maximum number of games that can be played, solve the inequality for g:

0.25g ≤ 10.00 - 3.00

0.25g ≤ 7.00

g ≤ 7.00 / 0.25

g ≤ 28

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