In Spain, Sam pays 2.7 euros for 18 litres of petrol - Edexcel - GCSE Maths - Question 8 - 2022 - Paper 2
Question 8
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 per litre in Spain
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Answer
To find the cost per litre in Spain, we divide the total cost by the total litres:
Cost in Spain = 2.7 euros for 18 litres.
Cost per litre in Spain = ( \frac{2.7}{18} = 0.15 ) euros per litre.
Step 2
Convert the cost in Spain to pounds
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Answer
Since 1 euro = £0.85, we convert the cost in euros to pounds:
Cost per litre in pounds = ( 0.15 imes 0.85 = 0.1275 ) pounds per litre.
Step 3
Calculate the cost per gallon in Wales
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Answer
In Wales, Leo pays £40.80 for 8 gallons. To find the cost per gallon, we divide:
Cost per gallon in Wales = ( \frac{40.80}{8} = 5.10 ) pounds per gallon.
Step 4
Convert the cost per gallon to cost per litre in Wales
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Answer
Since 1 gallon = 4.5 litres, we convert the cost per gallon to cost per litre:
Cost per litre in Wales = ( \frac{5.10}{4.5} \approx 1.1333 ) pounds per litre.
Step 5
Compare the costs
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Answer
Now we compare the costs:
Cost per litre in Spain: £0.1275
Cost per litre in Wales: £1.1333
Since £0.1275 < £1.1333, Sam is correct that petrol is cheaper in Spain than in Wales.
