Azmi, Beth and Callum share a flat. (a) The monthly rent is £760. They share the rent in the ratio 2 : 3 : 3. How much does Beth pay for rent each month? (b) Azmi, Beth and Callum also share the fuel bill in the ratio 2 : 3 : 3. Callum pays £36 for fuel each month. How much does Azmi pay for fuel each month?

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Azmi, Beth and Callum share a flat - OCR - GCSE Maths - Question 15 - 2021 - Paper 3

Question 15

Azmi, Beth and Callum share a flat. (a) The monthly rent is £760. They share the rent in the ratio 2 : 3 : 3. How much does Beth pay for rent each month? (b) Azmi,... show full transcript

Worked Solution & Example Answer:Azmi, Beth and Callum share a flat - OCR - GCSE Maths - Question 15 - 2021 - Paper 3

Step 1

(a) How much does Beth pay for rent each month?

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Answer

To find out how much Beth pays, we first determine the total parts in the ratio. The ratio for Azmi, Beth, and Callum is 2 : 3 : 3.

Calculating the total parts: $ext{Total parts} = 2 + 3 + 3 = 8$

Now we find the value of one part: $ext{Value of one part} = \frac{760}{8} = 95$

Beth's share of the rent, which is 3 parts, can be calculated as follows: $ext{Beth's rent} = 3 \times 95 = 285$

Thus, Beth pays £285 each month.

Step 2

(b) How much does Azmi pay for fuel each month?

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Answer

For the fuel bill shared in the ratio 2 : 3 : 3, we first establish the total parts again:

$ext{Total parts} = 2 + 3 + 3 = 8$

Given that Callum pays £36, which corresponds to 3 parts, we can find the value of one part: $ext{Value of one part} = \frac{36}{3} = 12$

Now, Azmi's share, which is 2 parts, is calculated as: $ext{Azmi's fuel payment} = 2 \times 12 = 24$

Therefore, Azmi pays £24 for fuel each month.

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