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Delroy drives 240 miles - OCR - GCSE Maths - Question 13 - 2019 - Paper 1

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Delroy drives 240 miles. His car averages 40 miles per gallon of petrol. Petrol costs £1.30 per litre. 1 gallon is 4.5 litres. How much does Delroy spend on petrol ... show full transcript

Worked Solution & Example Answer:Delroy drives 240 miles - OCR - GCSE Maths - Question 13 - 2019 - Paper 1

Step 1

Calculate the number of gallons used

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Answer

To find the number of gallons used, divide the total miles driven by the car's mileage per gallon:

Gallons Used=Total MilesMiles per Gallon=24040=6 gallons\text{Gallons Used} = \frac{\text{Total Miles}}{\text{Miles per Gallon}} = \frac{240}{40} = 6 \text{ gallons}

Step 2

Convert gallons to litres

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Next, convert gallons to litres using the conversion factor where 1 gallon is 4.5 litres:

Litres Used=Gallons Used×Litres per Gallon=6×4.5=27 litres\text{Litres Used} = \text{Gallons Used} \times \text{Litres per Gallon} = 6 \times 4.5 = 27 \text{ litres}

Step 3

Calculate the total cost of petrol

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Answer

Finally, calculate the cost of the petrol based on the amount used and the cost per litre:

Total Cost=Litres Used×Cost per Litre=27×1.30=£35.10\text{Total Cost} = \text{Litres Used} \times \text{Cost per Litre} = 27 \times 1.30 = £35.10

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