Question

you'll create your own word problem that requires them to solve multi-step equation to identify the answer.
Requirements:
explained clearly
variables
problems has to have the answer in orderly step by step
it should be about soccer
(Grade 9 problem)

Answer 1

### Word Problem:

**Scenario:** Alex is training for a local soccer tournament. He has set a goal to improve his overall fitness and skills.

**Problem Statement:**
During his training sessions, Alex runs a total of \( x \) kilometers each week. He runs three times a week: on Monday, Wednesday, and Friday. On Monday, he runs double the distance he runs on Wednesday, while on Friday, he runs 5 kilometers more than he does on Wednesday.

If Alex runs a total of 35 kilometers in one week, how far does Alex run on each of the three days?

### Step-by-Step Solution:

1. **Define the Variables:**
- Let \( w \) = the distance Alex runs on Wednesday (in kilometers).
- Then, the distance Alex runs on Monday will be \( 2w \) (twice Wednesday).
- The distance Alex runs on Friday will be \( w + 5 \) (5 km more than Wednesday).

2. **Set Up the Equation:**
- The total distance Alex runs in a week is the sum of the distances run on each day:
\[
x = (Distance \ on \ Monday) + (Distance \ on \ Wednesday) + (Distance \ on \ Friday)
\]
- So we can set up the equation:
\[
2w + w + (w + 5) = 35
\]

3. **Simplify the Equation:**
- Combine like terms:
\[
2w + w + w + 5 = 35
\]
\[
4w + 5 = 35
\]

4. **Solve for \( w \):**
- Subtract 5 from both sides:
\[
4w = 35 - 5
\]
\[
4w = 30
\]
- Divide both sides by 4:
\[
w = \frac{30}{4} = 7.5
\]

5. **Find the Distances for Each Day:**
- Now that we have \( w \), we can find the distances for each day:
- **Wednesday:**
\[
w = 7.5 \text{ km}
\]
- **Monday:**
\[
2w = 2 \times 7.5 = 15 \text{ km}
\]
- **Friday:**
\[
w + 5 = 7.5 + 5 = 12.5 \text{ km}
\]

6. **Conclusion:**
- Alex runs **15 km on Monday**, **7.5 km on Wednesday**, and **12.5 km on Friday**.

### Summary of the Distances:
- **Monday:** 15 km
- **Wednesday:** 7.5 km
- **Friday:** 12.5 km

Thus, Alex meets his training goal of running a total of 35 kilometers during the week.