Rashid is making cupcakes using these ingredients. Cupcake ingredients Makes 20 cupcakes 120g flour 140g butter 4 eggs 60g cocoa powder 50ml of water a) How many eggs does he need to make 60 cupcakes? b) How much butter is needed to make 5 cupcakes? c) Rashid has 210g of cocoa powder and plenty of the other ingredients. He says that he can make at least 75 cupcakes. Is he correct? Explain your reasoning.

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Rashid is making cupcakes using these ingredients - OCR - GCSE Maths - Question 13 - 2019 - Paper 2

Question 13

Rashid is making cupcakes using these ingredients. Cupcake ingredients Makes 20 cupcakes 120g flour 140g butter 4 eggs 60g cocoa powder 50ml of water a) How many... show full transcript

Worked Solution & Example Answer:Rashid is making cupcakes using these ingredients - OCR - GCSE Maths - Question 13 - 2019 - Paper 2

Step 1

How many eggs does he need to make 60 cupcakes?

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Answer

To find out how many eggs are needed for 60 cupcakes, we can set up a proportion based on the cupcakes recipe:

$\text{Eggs for 60 cupcakes} = \frac{60}{20} \times 4 = 3 \times 4 = 12$

Therefore, Rashid needs 12 eggs to make 60 cupcakes.

Step 2

How much butter is needed to make 5 cupcakes?

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Answer

For 5 cupcakes, we again use the proportion:

$\text{Butter for 5 cupcakes} = \frac{5}{20} \times 140g = 0.25 \times 140g = 35g$

Thus, Rashid needs 35g of butter to make 5 cupcakes.

Step 3

Is he correct? Explain your reasoning.

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Answer

To determine if Rashid can make at least 75 cupcakes with 210g of cocoa powder, we first find out how much cocoa powder is needed for 75 cupcakes:

Using the recipe: $\text{Cocoa powder for 75 cupcakes} = \frac{75}{20} \times 60g = 3.75 \times 60g = 225g$

Since Rashid has only 210g of cocoa powder, which is less than the required 225g, he cannot make 75 cupcakes. Therefore, he is incorrect in his statement.

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Rashid is making cupcakes using these ingredients - OCR - GCSE Maths - Question 13 - 2019 - Paper 2

Worked Solution & Example Answer:Rashid is making cupcakes using these ingredients - OCR - GCSE Maths - Question 13 - 2019 - Paper 2

How many eggs does he need to make 60 cupcakes?

How much butter is needed to make 5 cupcakes?

Is he correct? Explain your reasoning.

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