Carson's Parking Garage charges $4.00 dollars for the first 3 hours plus $1.50 for each additional half hour. Ted only has $11.50 for parking. For how long can Ted park his car in this garage?

Let's break the problem down:

- The first 3 hours cost **$4.00**.
- After the first 3 hours, Ted is charged **$1.50 for each additional half hour**.
- Ted has **$11.50** in total.

To find out how long Ted can park, we need to determine how many additional hours he can afford after the initial 3 hours.

### Step 1: Calculate the remaining money after the first 3 hours
Ted pays $4.00 for the first 3 hours. So, the remaining money is:
\[
11.50 - 4.00 = 7.50
\]

### Step 2: Determine how many half-hour blocks Ted can afford
Each additional half hour costs $1.50. The number of half-hour blocks Ted can afford is:
\[
\frac{7.50}{1.50} = 5 \text{ half-hour blocks}
\]

### Step 3: Convert the half-hour blocks to hours
Since 5 half-hour blocks equal $ \frac{5}{2} = 2.5 $ hours, Ted can afford an additional 2.5 hours.

### Step 4: Calculate the total parking time
Ted can park for the initial 3 hours, plus the additional 2.5 hours:
\[
3 + 2.5 = 5.5 \text{ hours}
\]

Thus, Ted can park for **5.5 hours** with his $11.50.

Would you like more details or have any questions?

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Here are 5 related questions to expand your understanding:
1. How much would Ted pay if he parked for 7 hours?
2. What would be the maximum parking time if Ted had $20?
3. How much more money would Ted need to park for 6 hours?
4. If the cost per additional half hour increased to $2.00, how long could Ted park with $11.50?
5. How would the total time change if the first 3 hours cost $5.00 instead?

**Tip:** Always calculate the base cost first and then the incremental costs when dealing with tiered pricing systems like this one.

Discover how to calculate the maximum parking time in Carson's Parking Garage given a limited budget of $11.50. This problem involves basic arithmetic concepts such as initial cost, additional charges, and unit rate calculation. Suitable for students in Grades 5-7.

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