https://file.aiquickdraw.com/mathbot/file/1726233226629gjd5t7gj.jpg

Let's go through the two problems in the image.

### Problem 27: Fuel Truck Delivery
The problem asks how much fuel remains after delivering certain amounts from an initial 5,000 gallons. The deliveries are given as:

- 175 gallons
- 186 gallons
- 192 gallons
- 256 gallons
- 136 gallons
- 314 gallons
- 88 gallons
- 153 gallons
- 372 gallons

**Steps to solve:**
1. Sum up all the delivered amounts.
2. Subtract the total delivered from the initial 5,000 gallons to find the remaining fuel.

Let's calculate:

\[
\text{Total Delivered} = 175 + 186 + 192 + 256 + 136 + 314 + 88 + 153 + 372
\]

\[
\text{Total Delivered} = 1872 \text{ gallons}
\]

Now, subtract this from the initial amount:

\[
\text{Remaining Fuel} = 5000 - 1872 = 3128 \text{ gallons}
\]

So, **3,128 gallons** of fuel remain.

### Problem 28: Number of Studs in a Wall
The problem requires determining the number of studs needed for a 48-foot long wall with studs placed 16 inches apart, plus an additional stud at the beginning.

**Steps to solve:**
1. Convert the wall length from feet to inches.
2. Calculate the number of spaces for the studs (divide total length by 16 inches).
3. Add one additional stud for the beginning.

**Calculations:**

1. Convert 48 feet to inches:

\[
48 \times 12 = 576 \text{ inches}
\]

2. Calculate the number of studs needed:

\[
\text{Number of Spaces} = \frac{576}{16} = 36
\]

3. Add the additional stud:

\[
\text{Total Studs} = 36 + 1 = 37
\]

Thus, **37 studs** are needed.

---

Would you like any further details or have any questions? 

Here are some related questions:
1. How would the number of studs change if the spacing was 24 inches instead of 16 inches?
2. What would happen to the remaining fuel if an additional 200 gallons were delivered?
3. How do you calculate the cost of fuel remaining if the price per gallon is $4.50?
4. How would you find the remaining fuel if there were errors in the delivery amounts?
5. How could the spacing of the studs impact the structural integrity of the wall?

**Tip:** When dealing with construction problems, always double-check the units used to avoid errors in calculations.

Solve the problem of calculating the remaining fuel in a truck after deliveries and find out how many studs are needed for a 48-foot wall. Concepts covered include summation, unit conversion, and spacing-based calculation. Suitable for middle school students.

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