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A car mechanic has a tin containing 5 litres of engine oil - OCR - GCSE Maths - Question 3 - 2021 - Paper 1

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A car mechanic has a tin containing 5 litres of engine oil. Each week they use 450 millilitres of this oil for their vehicles. The car mechanic says After 9 weeks I... show full transcript

Worked Solution & Example Answer:A car mechanic has a tin containing 5 litres of engine oil - OCR - GCSE Maths - Question 3 - 2021 - Paper 1

Step 1

Calculate the Total Oil Used After 9 Weeks

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Answer

To find out how much oil is used after 9 weeks, calculate:

Total Oil Used = Weekly Usage × Number of Weeks

Substituting the values:

Total Oil Used = 450 ext{ ml} imes 9 = 4050 ext{ ml}

Step 2

Convert Litres to Millilitres

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Since 1 litre is equal to 1000 millilitres, convert 5 litres to millilitres:

5 litres = 5 imes 1000 = 5000 ext{ ml}

Step 3

Calculate 80% of the Total Oil

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Answer

To determine 80% of the total oil in the tin:

80 ext{% of 5000 ml} = 0.8 imes 5000 = 4000 ext{ ml}

Step 4

Determine if the Mechanic's Statement is Correct

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Answer

Now we compare the total oil used after 9 weeks (4050 ml) with 80% of the total oil (4000 ml). Since 4050 ml is greater than 4000 ml, the mechanic's statement is incorrect. After 9 weeks, they will have used more than 80% of the oil.

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