Question
Gorkem wants to buy a computer that costs \( £ 449.50 \) He already has \( £ 135 \) He will save \( £ 18.50 \) each week. In how many weeks will he have saved enough?
Ask by Little Weaver. in the United Kingdom
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Gorkem needs to save for 17 weeks to afford the computer.
Solution
To determine how many weeks Gorkem needs to save to afford the computer, let's break down the problem step by step.
### Given:
- **Cost of the computer:** £449.50
- **Current savings:** £135
- **Weekly savings:** £18.50
### Goal:
Find the number of weeks (**w**) required for Gorkem's total savings to reach or exceed £449.50.
### Calculation:
1. **Determine the remaining amount to save:**
\[
\text{Remaining Amount} = \text{Cost of Computer} - \text{Current Savings} = £449.50 - £135 = £314.50
\]
2. **Calculate the number of weeks needed:**
\[
\text{Number of Weeks} = \frac{\text{Remaining Amount}}{\text{Weekly Savings}} = \frac{£314.50}{£18.50} = 17 \text{ weeks}
\]
- **Explanation:**
- £18.50 × 17 weeks = £314.50
### Conclusion:
Gorkem will need to save for **17 weeks** to have enough money to purchase the computer.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To find out how many weeks it will take for Gorkem to save enough money, we first need to determine how much more he needs. The total cost of the computer is \( £ 449.50 \), and he already has \( £ 135 \). So, the amount Gorkem still needs is: \( £ 449.50 - £ 135 = £ 314.50 \). Now, since he saves \( £ 18.50 \) each week, we can calculate the number of weeks needed by dividing the amount needed by the weekly savings: \( £ 314.50 ÷ £ 18.50 \approx 17 \) weeks. Therefore, Gorkem will need approximately 17 weeks to save enough money to buy the computer.
