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Cookies are made using these ingredients - OCR - GCSE Maths - Question 11 - 2023 - Paper 1

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Cookies are made using these ingredients. Ingredients Makes 24 cookies 240g butter 360g sugar 2 eggs 240g flour 170g cranberries 100g white chocolate (a) How man... show full transcript

Worked Solution & Example Answer:Cookies are made using these ingredients - OCR - GCSE Maths - Question 11 - 2023 - Paper 1

Step 1

How many eggs are needed to make 48 cookies?

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Answer

To determine the number of eggs needed for 48 cookies, we use a proportion. The recipe makes 24 cookies with 2 eggs. Therefore, for 48 cookies, we need:

ext{Number of eggs} = 2 imes rac{48}{24} = 4 ext{ eggs}

Step 2

How much sugar is needed to make 6 cookies?

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Answer

For 24 cookies, 360g of sugar is required. To find the amount needed for 6 cookies, we calculate:

ext{Sugar needed} = 360g imes rac{6}{24} = 90g

Step 3

Is Ashley correct? Show working to support your answer.

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Answer

Ashley has 520g of cranberries. The recipe requires 170g of cranberries to make 24 cookies. To see if she has enough for 80 cookies, we first find the required amount:

ext{Cranberries needed} = 170g imes rac{80}{24} \\ = 566.67g

Since Ashley has only 520g, she does not have enough cranberries. Therefore, Ashley is incorrect.

Step 4

Work out how much money Darcie receives.

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Answer

Darcie makes 100 cookies, and each packet contains 6 cookies. The number of packets is:

ext{Number of packets} = rac{100}{6} ext{ (approx. 16.67, so 16 full packets)}

Since each packet sells for £1.35, the total revenue is:

extTotalmoney=16extpacketsimes£1.35=£21.60 ext{Total money} = 16 ext{ packets} imes £1.35 = £21.60

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