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Emily spent £2400 on holiday in 2017 - OCR - GCSE Maths - Question 18 - 2018 - Paper 2

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Question 18

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Emily spent £2400 on holiday in 2017. This was 20% more than she spent on holiday in 2016. Calculate the amount she spent on holiday in 2016.

Worked Solution & Example Answer:Emily spent £2400 on holiday in 2017 - OCR - GCSE Maths - Question 18 - 2018 - Paper 2

Step 1

Calculate the amount she spent on holiday in 2016.

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Answer

Let the amount she spent in 2016 be denoted as xx.

Since she spent 20% more in 2017, we can express this mathematically as:

2400=x+0.2x2400 = x + 0.2x

This simplifies to:

2400=1.2x2400 = 1.2x

To find xx, divide both sides by 1.2:

x=24001.2x = \frac{2400}{1.2}

Calculating this gives:

x=2000x = 2000

Thus, Emily spent £2000 on holiday in 2016.

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