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The ratio 2 centimetres to 5 metres can be written in the form 1 : n - OCR - GCSE Maths - Question 1 - 2018 - Paper 1
Question 1
The ratio 2 centimetres to 5 metres can be written in the form 1 : n. Find the value of n. Jay, Sheila and Harry share £7200 in the ratio 1 : 2 : 5. How much does... show full transcript
Worked Solution & Example Answer:The ratio 2 centimetres to 5 metres can be written in the form 1 : n - OCR - GCSE Maths - Question 1 - 2018 - Paper 1
Step 1
Find the value of n.
Answer
To find the value of n in the ratio 2 cm to 5 m, we first need to convert both measurements to the same unit.
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Convert 5 metres to centimetres:
5 m = 5 x 100 cm = 500 cm.
Now, we have the ratio 2 cm to 500 cm.
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To express this ratio in the form 1 : n, we divide both sides by the first term (2):
[ 2 : 500 = 1 : \frac{500}{2} = 1 : 250. ]
Thus, n = 250.
Step 2
How much does Harry receive?
Answer
To find out how much Harry receives, we first determine the total parts in the ratio 1 : 2 : 5:
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Calculate the total parts:
Total parts = 1 + 2 + 5 = 8.
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Now, we can find the value of one part by dividing the total amount (£7200) by the total parts:
[ \text{Value of one part} = \frac{7200}{8} = 900. ]
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Finally, calculate Harry's share by multiplying the value of one part by his share (5 parts):
[ \text{Harry's share} = 5 \times 900 = 4500. ]
Therefore, Harry receives £4500.