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A car mechanic has a tin containing 5 litres of engine oil - OCR - GCSE Maths - Question 14 - 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 14 - 2021 - Paper 1

Step 1

Calculate total oil used after 9 weeks

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Answer

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

450extml/week×9extweeks=4050extml450 ext{ ml/week} \times 9 ext{ weeks} = 4050 ext{ ml}

Step 2

Determine the total oil in litres

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Answer

The tin contains 5 litres of oil. To convert this into millilitres:

5extlitres=5000extml5 ext{ litres} = 5000 ext{ ml}

Step 3

Calculate 80% of the total oil

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Answer

Next, we need to find out what 80% of the total oil amount is:

80% of 5000extml=0.8×5000=4000extml80\% \text{ of } 5000 ext{ ml} = 0.8 \times 5000 = 4000 ext{ ml}

Step 4

Compare the total oil used to 80% of the oil

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Answer

Now we compare the total amount of oil used after 9 weeks to 80% of the tin:

  • Total oil used: 4050 ml
  • 80% of tin: 4000 ml

Since 4050 ml > 4000 ml, the car mechanic's claim is correct.

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