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In Spain, Sam pays 2.7 euros for 18 litres of petrol - Edexcel - GCSE Maths - Question 7 - 2022 - Paper 2
Question 7
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 7 - 2022 - Paper 2
Step 1
Calculate the cost of petrol per litre in Spain
Answer
To find the cost per litre of petrol in Spain, we can use the formula:
[ \text{Cost per litre} = \frac{\text{Total Cost}}{\text{Total Litres}} ]
In this case: [ \text{Cost per litre in Spain} = \frac{2.7 \text{ euros}}{18 \text{ litres}} = 0.15 \text{ euros per litre} ]
Step 2
Convert the cost of petrol per litre in Wales
Answer
First, we need to convert the 8 gallons of petrol that Leo buys into litres. Since 1 gallon is equivalent to 4.5 litres:
[ \text{Total litres in Wales} = 8 \text{ gallons} \times 4.5 \text{ litres/gallon} = 36 \text{ litres} ]
Next, we calculate the cost per litre in Wales: [ \text{Cost per litre in Wales} = \frac{40.80 \text{ pounds}}{36 \text{ litres}} = 1.1333 \text{ pounds per litre} ]
We also need to convert this cost from pounds to euros. Since 1 euro = £0.85: [ \text{Cost per litre in euros} = \frac{1.1333 \text{ pounds}}{0.85} = 1.3333 \text{ euros per litre} ]
Step 3