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Karen made 40 cakes - OCR - GCSE Maths - Question 4 - 2017 - Paper 1

Question 4

Karen made 40 cakes. She gives $ \frac{1}{5} $ of the cakes to Andrew. She gives 10% of the 40 cakes to Chris. What fraction of the 40 cakes does she have left?

Worked Solution & Example Answer:Karen made 40 cakes - OCR - GCSE Maths - Question 4 - 2017 - Paper 1

Step 1

Calculate the cakes given to Andrew

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Answer

Karen gives ( \frac{1}{5} ) of the cakes to Andrew. To find the number of cakes given:

$\text{Cakes to Andrew} = 40 \times \frac{1}{5} = 8 \text{ cakes}$

Step 2

Calculate the cakes given to Chris

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Answer

Karen gives 10% of the cakes to Chris. To find the number of cakes given:

$\text{Cakes to Chris} = 40 \times 0.10 = 4 \text{ cakes}$

Step 3

Determine the number of cakes left

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Answer

Now, to find out how many cakes Karen has left:

$\text{Cakes left} = 40 - (8 + 4) = 40 - 12 = 28 \text{ cakes}$

To express this as a fraction of the total:

$\text{Fraction left} = \frac{28}{40} = \frac{7}{10}$

Thus, Karen has ( \frac{7}{10} ) of the 40 cakes left.

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