GCSE OCR Maths Fractions: 3(a) Anne, Barry and Colin share

3(a) Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5 - OCR - GCSE Maths - Question 3 - 2019 - Paper 4

Question 3

3(a) Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5. Colin gives 1/3 of his share to a charity. What fraction of the whole prize does Colin give to the ... show full transcript

Worked Solution & Example Answer:3(a) Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5 - OCR - GCSE Maths - Question 3 - 2019 - Paper 4

Step 1

What fraction of the whole prize does Colin give to the charity?

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Answer

To solve this, we first need to determine Colin's share of the prize. The total parts of the prize shared by Anne, Barry, and Colin is:

$3 + 4 + 5 = 12$

Colin's share is thus:

$\frac{5}{12}$

Colin gives $\frac{1}{3}$ of his share to charity, which can be calculated as follows:

$\frac{1}{3} \times \frac{5}{12} = \frac{5}{36}$

Thus, the fraction of the whole prize that Colin gives to the charity is:

$\frac{5}{36}$ .

Step 2

How much money did they share?

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Answer

Given that Freya’s share is £1600 and represents 8 parts in the ratio 5 : 7 : 8, we can find the value of one part:

The total parts are:

$5 + 7 + 8 = 20$

From Freya's share, we can determine the value of one part as follows:

$\text{Value of one part} = \frac{1600}{8} = 200$

Now, the total money shared can be calculated by multiplying the value of one part by the total number of parts:

$\text{Total money shared} = 20 \times 200 = 4000$ .

Therefore, Delia, Edwin, and Freya shared £4000.

3(a) Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5 - OCR - GCSE Maths - Question 3 - 2019 - Paper 4

Worked Solution & Example Answer:3(a) Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5 - OCR - GCSE Maths - Question 3 - 2019 - Paper 4

What fraction of the whole prize does Colin give to the charity?

How much money did they share?

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