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Let's solve this problem step-by-step.

### Given:
- Sahar starts with **AED 520** and saves **AED 30 per week**.
- Farah starts with **AED 450** and saves **AED 20 per week**.

We need to find **how many weeks** it will take for both to have the **same amount of money**.

### Formulating Equations:
- After \(x\) weeks:
  - Sahar’s amount: \(520 + 30x\)
  - Farah’s amount: \(450 + 20x\)

We need to find when both amounts will be equal:
\[
520 + 30x = 450 + 20x
\]

### Solving the Equation:
1. Rearrange the terms:
   \[ 30x - 20x = 450 - 520 \]
   \[ 10x = -70 \]
2. Solve for \(x\):
   \[ x = \frac{-70}{10} = 7 \]

### Final Answer:
They will have the **same amount of money in 7 weeks**.

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Let me know if you have any questions or want further details!

### Related Questions:
1. What if Sahar saved more per week, say AED 40 instead?
2. How much money will each have after 7 weeks?
3. What if they started with the same amount but had different saving rates?
4. How would the result change if Farah saved AED 25 per week instead of AED 20?
5. Can you create a graph showing how their savings grow over time?

**Tip:** When setting up equations, always align variables (like weeks saved) to make comparisons easier.

Sahar has AED 520. She will save AED 30 per week. Farah has AED 450 and she will save AED 20 per week. They will have the same amount of money in __ weeks.

Determine when Sahar and Farah will have the same amount of savings. Sahar starts with AED 520 and saves AED 30 per week, while Farah starts with AED 450 and saves AED 20 per week. Learn how to solve this linear equation to find the number of weeks for their savings to equal.

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