Some biscuits contain only three ingredients: flour, butter and sugar. - The ratio of flour to butter is 5 : 4. - The ratio of butter to sugar is 2 : 1. - The total weight of the flour, butter and sugar is 770g. Work out the weight of each of the ingredients. Flour ......................... g Butter ......................... g Sugar ......................... g

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Some biscuits contain only three ingredients: flour, butter and sugar - OCR - GCSE Maths - Question 11 - 2018 - Paper 2

Question 11

Some biscuits contain only three ingredients: flour, butter and sugar. - The ratio of flour to butter is 5 : 4. - The ratio of butter to sugar is 2 : 1. - The total... show full transcript

Worked Solution & Example Answer:Some biscuits contain only three ingredients: flour, butter and sugar - OCR - GCSE Maths - Question 11 - 2018 - Paper 2

Step 1

The ratio of flour to butter is 5 : 4

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Answer

Let the weight of flour be represented as $5x$ and the weight of butter as $4x$ . This gives us two portions that we can work with.

Step 2

The ratio of butter to sugar is 2 : 1

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Answer

Given that the weight of butter is $4x$ , we can express the weight of sugar as follows: if butter is $2y$ , then sugar is $y$ . Setting $2y = 4x$ , we find that $y = 2x$ . Therefore, the weight of sugar will be $2x$ .

Step 3

The total weight of flour, butter and sugar is 770g

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Answer

Now, we can write the equation based on the total weight: $5x + 4x + 2x = 770$ . This simplifies to: $11x = 770$ . Solving for $x$ , we find that $x = 70$ .

Step 4

Calculate the weight of each ingredient

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Answer

Now we can calculate the weights:

Flour: $5x = 5 \times 70 = 350g$
Butter: $4x = 4 \times 70 = 280g$
Sugar: $2x = 2 \times 70 = 140g$

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