Question

Equation?
Landon wants to ride his bicycle 36 miles this week. He has already ridden 4 miles. If he rides for 4 more days, write and solve an equation which can be used to determine mm, the average number of miles he would have to ride each day to meet his goal.

Answer 1

To find the average number of miles Landon needs to ride each day to meet his goal, we can set up the following equation.

1. **Define Variables:**
- Let \( mm \) be the average number of miles Landon needs to ride each day for the next 4 days.
- Total miles he wants to ride = 36 miles.
- Miles he has already ridden = 4 miles.
- Miles he has left to ride to meet his goal = \( 36 - 4 = 32 \) miles.

2. **Equation Setup:**
- Landon will be riding for 4 more days, so the total miles he needs to ride over these 4 days is represented as \( mm \cdot 4 \) (since he rides \( mm \) miles each day for 4 days).
- Therefore, we can set up the equation:
\[
mm \cdot 4 = 32
\]

3. **Solve the Equation:**
- To find \( mm \), we divide both sides of the equation by 4:
\[
mm = \frac{32}{4}
\]
\[
mm = 8
\]

So, Landon will need to ride an average of **8 miles each day** for the next 4 days to meet his goal of 36 miles this week.