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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

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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.

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Answer

To convert the ratio of 2 cm to 5 m into the form 1 : n, we need to first convert the measurements to the same unit. Since 5 metres equals 500 cm, we have:

ext{Ratio} = rac{2 ext{ cm}}{500 ext{ cm}} = rac{1}{250}

This means that the value of n is 250.

Step 2

How much does Harry receive?

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Answer

The total parts in the ratio 1 : 2 : 5 are:

1+2+5=8extparts1 + 2 + 5 = 8 ext{ parts}

Now, to find out how much each part is worth, divide the total amount by the total parts:

rac{£7200}{8} = £900 ext{ per part}

Now, Harry has 5 parts, so we multiply:

5imes£900=£45005 imes £900 = £4500

Thus, Harry receives £4500.

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