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The problem shown in your image is about proportional reasoning. Here's how we can solve it:

The problem states:
- **5 gallons** of gas is used to travel **125 miles**.
- You need to find out how many gallons are required to travel **400 miles**.

This is a proportional relationship, so we can set up the following proportion:

\[
\frac{5 \text{ gallons}}{125 \text{ miles}} = \frac{x \text{ gallons}}{400 \text{ miles}}
\]

Where **x** represents the number of gallons needed for 400 miles.

Now, let's solve for **x** by cross-multiplying:

\[
5 \times 400 = 125 \times x
\]

\[
2000 = 125x
\]

Now, divide both sides by 125:

\[
x = \frac{2000}{125} = 16
\]

So, **16 gallons** of gas are needed to travel 400 miles.

Let me know if you need more details or further clarification!

Here are some related questions:
1. If 3 gallons are used to travel 75 miles, how many gallons are needed for 150 miles?
2. How far can you travel with 10 gallons of gas, assuming the same mileage per gallon?
3. If Lamonte's car improves efficiency and now uses 4 gallons for 125 miles, how many gallons would be needed for 400 miles?
4. What is the fuel efficiency in miles per gallon based on the original problem?
5. How many miles can be traveled with 20 gallons of gas at the same rate?

**Tip:** Always check if the relationships are proportional by comparing unit rates.

Lamonte's car used 5 gallons to travel 125 miles. How many gallons of gas would he need to travel 400 miles?

Learn how to solve a proportional reasoning problem, finding how many gallons of gas are needed to travel 400 miles if 5 gallons are used to travel 125 miles. This solution includes ratios, cross-multiplication, and step-by-step reasoning. Suitable for students in Grades 6-8.

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