Amari can spend *at most* $⁢40 at the fair. It cost her $⁢12 to enter the fair and $⁢3 per ticket, t, to ride the rides.

The inequality Response area represents the amount of money Amari has left to purchase tickets after she enters the fair

To represent the amount of money Amari has left to purchase tickets after she enters the fair, let's define the variables:

- $ t $ represents the number of tickets Amari wants to buy.
- The cost to enter the fair is $ 12 $ dollars.
- Each ticket costs $ 3 $ dollars.
- Amari can spend at most $ 40 $ dollars in total.

The total amount Amari spends is the sum of the entrance fee and the cost of the tickets. The inequality should express that this total expenditure is less than or equal to $ 40 $ dollars:

\[
12 + 3t \leq 40
\]

This inequality represents the amount of money Amari has left to purchase tickets after paying the entrance fee.

Would you like to see how to solve this inequality to find the number of tickets she can buy?

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**Here are 5 related questions to consider:**

1. How many tickets can Amari buy if she wants to spend exactly $ 40 $ dollars at the fair?
2. If the entrance fee increases to $ 15 $ dollars, how does the inequality change?
3. What would happen to the number of tickets Amari can buy if each ticket cost $ 4 $ dollars instead?
4. How much money will Amari have left if she buys $ 5 $ tickets?
5. If Amari only has $ 30 $ dollars, what would the new inequality look like?

**Tip:** When dealing with inequalities that involve costs, always remember to subtract fixed costs first before setting up the inequality to find the remaining amount for variable costs.

Learn how to manage fair spending with inequalities. Amari can spend at most $40 at the fair, including an entrance fee of $12 and $3 per ticket. Explore how to set up and solve inequalities to determine the number of tickets Amari can afford. Suitable for students in Grades 7-9.

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