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The ratio 50 grams to 1 kilogram can be written in the form 1 : n - OCR - GCSE Maths - Question 2 - 2019 - Paper 4

Question 2

The ratio 50 grams to 1 kilogram can be written in the form 1 : n. Find the value of n.

Worked Solution & Example Answer:The ratio 50 grams to 1 kilogram can be written in the form 1 : n - OCR - GCSE Maths - Question 2 - 2019 - Paper 4

Step 1

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Answer

First, recognize that 1 kilogram is equal to 1000 grams. Therefore, the ratio can be expressed as 50 grams to 1000 grams.

Step 2

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Answer

The ratio can now be written as 50 grams to 1000 grams, which simplifies to the form 1 : n. This means we want to find the value of n such that:

$1 : n = 50 : 1000$

Step 3

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Answer

To find n, set up the proportion:

$rac{50}{1000} = rac{1}{n}$

Cross-multiply to solve for n:

$50n = 1000$

Now, divide both sides by 50:

$n = rac{1000}{50} = 20$

Step 4

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Answer

Thus, the value of n is 20.

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