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£360 is shared between Abby, Ben, Chloe and Denesh - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 2

Question 8

£360 is shared between Abby, Ben, Chloe and Denesh. The ratio of the amount Abby gets to the amount Ben gets is 2:7 Chloe and Denesh each get 1.5 times the amount Ab... show full transcript

Worked Solution & Example Answer:£360 is shared between Abby, Ben, Chloe and Denesh - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 2

Step 1

Find the amounts each person gets based on the ratio

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Answer

Let the amount Abby gets be represented as 2x and the amount Ben gets as 7x. Therefore, the total amount shared can be represented as:

$2x + 7x + 1.5(2x) + 1.5(2x) = 360$

This simplifies to:

$2x + 7x + 3x + 3x = 360$

Thus, we have:

$15x = 360$

Step 2

Calculate the value of x

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Answer

To find the value of x, we divide both sides by 15:

$x = \frac{360}{15} = 24$

Step 3

Determine the amount Ben gets

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Answer

Now that we have the value of x, we can find out how much Ben gets:

Ben's amount = 7x = 7(24) = £168

Step 4

Final Answer

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Answer

The amount of money that Ben gets is £168.

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