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Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of 30 miles.
Which equation can Russell use to find how many miles, x, he ran each day after school?

Let's break down the situation to form the equation.

- Russell runs **2 miles** before school each day.
- After school, he runs **x miles** through his neighborhood each day.
- He trains for **5 days** in a week.
- The total distance he runs for the week is **30 miles**.

For each day, he runs a total of:
- 2 miles (before school) + x miles (after school).

Therefore, the total distance Russell runs per day is \( 2 + x \) miles. Since he trains for 5 days, the total distance he runs in the week is \( 5 \times (2 + x) \).

We are told that the total distance for the week is 30 miles. So, the equation becomes:

\[
5 \times (2 + x) = 30
\]

This is the equation Russell can use to find how many miles, \( x \), he runs each day after school.

Would you like to solve for \( x \), or need more clarification?

### 5 Relative Questions:
1. What is the first step in solving the equation \( 5 \times (2 + x) = 30 \)?
2. How many miles does Russell run each day before school, and how is that represented in the equation?
3. What would the total distance be if Russell ran for 6 days instead of 5?
4. How would the equation change if he ran 3 miles before school instead of 2?
5. What if Russell's total running for the week was 40 miles? How would the equation change?

### Tip:
Always isolate the variable when solving an equation, starting by simplifying both sides to make the problem more manageable.

Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of 30 miles. Which equation can Russell use to find how many miles, x, he ran each day after school?

Learn how to solve the linear equation 5 × (2 + x) = 30 to find out how many miles Russell runs each day after school. This problem covers basic algebra concepts, including setting up and solving linear equations. Suitable for students in Grades 6-8.

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