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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 ... 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 amount of oil used in 9 weeks

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Answer

To find the total amount of oil used in 9 weeks, we multiply the weekly usage by the number of weeks:

450extml/week×9 weeks=4050 ml450 ext{ ml/week} \times 9 \text{ weeks} = 4050 \text{ ml}

To convert millilitres to litres, we remember that 1 litre = 1000 millilitres:

4050 ml÷1000=4.05 litres4050 \text{ ml} \div 1000 = 4.05 \text{ litres}

Step 2

Determine 80% of the total oil in the tin

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Answer

Next, we calculate 80% of the total oil in the tin, which is 5 litres:

0.80×5 litres=4 litres0.80 \times 5 \text{ litres} = 4 \text{ litres}

Step 3

Compare the oil used and 80% of the tin

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Answer

Now we compare the total amount of oil used (4.05 litres) with 4 litres. Since 4.05 litres exceeds 4 litres, the mechanic's statement is correct.

Thus, after 9 weeks, the mechanic would have used over 80% of the oil in the tin.

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