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In London, 1 litre of petrol costs 108.9p In New York, 1 US gallon of petrol costs $2.83 1 US gallon = 3.785 litres £1 = $1.46 In which city is petrol better value for money, London or New York? You must show your working. - Edexcel - GCSE Maths - Question 2 - 2017 - Paper 3

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In-London,-1-litre-of-petrol-costs-108.9p-In-New-York,-1-US-gallon-of-petrol-costs-$2.83--1-US-gallon-=-3.785-litres-£1-=-$1.46--In-which-city-is-petrol-better-value-for-money,-London-or-New-York?-You-must-show-your-working.-Edexcel-GCSE Maths-Question 2-2017-Paper 3.png

In London, 1 litre of petrol costs 108.9p In New York, 1 US gallon of petrol costs $2.83 1 US gallon = 3.785 litres £1 = $1.46 In which city is petrol better value... show full transcript

Worked Solution & Example Answer:In London, 1 litre of petrol costs 108.9p In New York, 1 US gallon of petrol costs $2.83 1 US gallon = 3.785 litres £1 = $1.46 In which city is petrol better value for money, London or New York? You must show your working. - Edexcel - GCSE Maths - Question 2 - 2017 - Paper 3

Step 1

Calculate the cost per litre in London

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Answer

To find the cost per litre in London, we convert the price from pence to pounds:

Cost in pounds per litre:

108.9100=1.089 pounds\frac{108.9}{100} = 1.089 \text{ pounds}

Thus, the price per litre in London is £1.089.

Step 2

Calculate the cost per litre in New York

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Answer

First, determine the cost of one gallon of petrol in pounds, using the exchange rate:

Cost in pounds per gallon:

2.83/1.461.936 pounds2.83 / 1.46 \approx 1.936 \text{ pounds}

Now, convert this to cost per litre:

Since 1 gallon = 3.785 litres:

1.9363.7850.511 pounds per litre\frac{1.936}{3.785} \approx 0.511 \text{ pounds per litre}

Step 3

Compare the two values

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Answer

Now, we compare the costs per litre for both cities:

  • London: £1.089 per litre
  • New York: £0.511 per litre

Since 0.511<1.0890.511 < 1.089, petrol is better value in New York.

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