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The problem is asking for the distance of the morning route in miles, given two sets of data about the mail carrier's deliveries.

Let's define:
- \( M \) as the distance of the morning route in miles.
- \( A \) as the distance of the afternoon route in miles.

From the given dataThe problem is asking for the distance of the morning route in miles, given two sets of data about the mail carrier's deliveries.

Let's define:
- \( M \) as the distance of the morning route in miles.
- \( A \) as the distance of the afternoon route in miles.

From the given 

1. **Last month:**
   - Morning route: 16 times.
   - Afternoon route: 12 times.
   - Total distance = 141 miles.
   Therefore, we have the equation:
   \[
   16M + 12A = 141
   \]

2. **This month:**
   - Morning route: 10 times.
   - Afternoon route: 15 times.
   - Total distance = 123.75 miles.
   Therefore, we have the equation:
   \[
   10M + 15A = 123.75
   \]

Now, we have a system of two equations:
\[
16M + 12A = 141 \tag{1}
\]
\[
10M + 15A = 123.75 \tag{2}
\]

### Step 1: Simplify the equations if possible
To simplify equation (1), we divide everything by 4:
\[
4M + 3A = 35.25 \tag{3}
\]

Similarly, we simplify equation (2) by dividing everything by 5:
\[
2M + 3A = 24.75 \tag{4}
\]

### Step 2: Solve the system of equations
We subtract equation (4) from equation (3):
\[
(4M + 3A) - (2M + 3A) = 35.25 - 24.75
\]
Simplifying:
\[
2M = 10.5
\]
\[
M = 5.25
\]

Thus, the distance of the morning route is **5.25 miles**.

### Answer: A. 5.25 miles

Would you like more details on the solution steps or have any questions?

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Here are 5 related questions for further practice:
1. What is the distance of the afternoon route in miles?
2. How would the total distance change if the mail carrier delivered mail 5 more times on the morning route next month?
3. How can you verify the solution by substituting the distances back into the original equations?
4. If the mail carrier traveled the morning route 20 times and the afternoon route 10 times, what would be the total distance?
5. How does the system of equations change if the mail carrier's total distance for this month was 130 miles instead?

**Tip:** When solving systems of equations, simplifying first can help make the algebra more manageable.

A mail carrier delivers mail on one of two different routes: a morning route or an afternoon route. Last month the mail carrier delivered mail on the morning route 16 times and on the afternoon route 12 times, for a total distance traveled of 141 miles. This month the mail carrier delivered mail on the morning route 10 times and on the afternoon route 15 times, for a total distance traveled of 123.75 miles. What is the distance of the morning route in miles?

Learn how to find the distance of a morning route using algebra. In this problem, a mail carrier delivers mail on two routes. The solution involves solving a system of equations based on the number of deliveries and total distance traveled. Suitable for students in Grades 7-9.

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