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Azmi, Beth and Callum share a flat - OCR - GCSE Maths - Question 2 - 2021 - Paper 1
Question 2
Azmi, Beth and Callum share a flat. The monthly rent is £760. They share the rent in the ratio 2 : 3 : 3. How much does Beth pay for rent each month? Azmi, Beth ... show full transcript
Worked Solution & Example Answer:Azmi, Beth and Callum share a flat - OCR - GCSE Maths - Question 2 - 2021 - Paper 1
Step 1
How much does Beth pay for rent each month?
Answer
To determine how much Beth pays for rent, we first need to find the total parts in the ratio 2:3:3.
- Total parts = 2 (Azmi) + 3 (Beth) + 3 (Callum) = 8 parts.
- Rent per part = Total Rent / Total Parts = £760 / 8 = £95.
Then, to find Beth's share:
- Beth's share = 3 parts = 3 * £95 = £285.
Therefore, Beth pays £285 for rent each month.
Step 2
How much does Azmi pay for fuel each month?
Answer
To find Azmi's fuel bill, we again consider the total parts in the ratio 2:3:3.
- Total parts = 2 (Azmi) + 3 (Beth) + 3 (Callum) = 8 parts.
- Callum's payment for fuel = £36, which corresponds to 3 parts.
- Value of 1 part = £36 / 3 = £12.
Now, we calculate Azmi's share:
- Azmi's share = 2 parts = 2 * £12 = £24.
Thus, Azmi pays £24 for fuel each month.