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In Spain, Sam pays 2.7 euros for 18 litres of petrol - Edexcel - GCSE Maths - Question 8 - 2022 - Paper 2

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In Spain, Sam pays 2.7 euros for 18 litres of petrol. In Wales, Leo pays £40.80 for 8 gallons of the same type of petrol. 1 euro = £0.85 4.5 litres = 1 gallon Sam ... show full transcript

Worked Solution & Example Answer:In Spain, Sam pays 2.7 euros for 18 litres of petrol - Edexcel - GCSE Maths - Question 8 - 2022 - Paper 2

Step 1

Calculate the cost of petrol in Spain per litre

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Answer

To find the cost of petrol in Spain per litre, we divide the total cost by the total litres:

Cost per litre in Spain = ( \frac{2.7 \text{ euros}}{18 \text{ litres}} = 0.15 \text{ euros per litre} )

Step 2

Convert the cost from euros to pounds

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Answer

Next, we convert the cost from euros to pounds:

Cost in pounds = ( 0.15 \text{ euros} \times 0.85 \text{ £/euro} = 0.1275 \text{ £ per litre} )

Step 3

Calculate the cost of petrol in Wales per litre

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Answer

In Wales, the cost per litre can be found by first calculating the cost per gallon and then converting that to litres:

Cost per gallon in Wales = ( \frac{40.80 \text{ £}}{8 \text{ gallons}} = 5.10 \text{ £ per gallon} )

Converting gallons to litres: ( 1 \text{ gallon} = 4.5 \text{ litres} )

Cost per litre in Wales = ( \frac{5.10 \text{ £}}{4.5 \text{ litres}} \approx 1.1333 \text{ £ per litre} )

Step 4

Compare the costs in Spain and Wales

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Now, we can compare the costs:

  • Cost of petrol in Spain: ( 0.1275 \text{ £ per litre} )
  • Cost of petrol in Wales: ( 1.1333 \text{ £ per litre} )

Since ( 0.1275 < 1.1333 ), petrol is indeed cheaper in Spain than in Wales. Therefore, Sam is correct.

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