Gabe went to the amusement park with $40 to spend. His ticket cost $26.50. Write and solve an inequality to show how much he might spend on souvenirs and snacks.

Answer 1

To determine how much Gabe can spend on souvenirs and snacks, we can set up an inequality based on the money he has left after buying his ticket.

1. Identify the total amount Gabe has: \[ \text{Total Money} = 40 \text{ dollars} \]

2. Identify the cost of the ticket: \[ \text{Cost of ticket} = 26.50 \text{ dollars} \]

3. Let \( x \) represent the amount Gabe spends on souvenirs and snacks. The amount left after buying the ticket can be expressed as: \[ 40 - 26.50 \]

4. Write the inequality to represent the condition that the amount spent on souvenirs and snacks must be less than or equal to the remaining amount: \[ x \leq 40 - 26.50 \]

5. Calculate \( 40 - 26.50 \): \[ 40 - 26.50 = 13.50 \]

6. Therefore, the inequality becomes: \[ x \leq 13.50 \]

This means Gabe can spend at most $13.50 on souvenirs and snacks.

Solution: Gabe might spend up to $13.50 on souvenirs and snacks.