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A 100 g packet of tea costs £4.16 - OCR - GCSE Maths - Question 3 - 2017 - Paper 1

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A 100 g packet of tea costs £4.16. A 25 g packet of the same tea costs £1.05. Which packet is better value for money? Show how you decide.

Worked Solution & Example Answer:A 100 g packet of tea costs £4.16 - OCR - GCSE Maths - Question 3 - 2017 - Paper 1

Step 1

Calculate the cost per gram of the 100 g packet

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Answer

To find the cost per gram for the 100 g packet, we divide the total cost by the number of grams:

Cost per gram = ( \frac{4.16}{100} = 0.0416 ) or 4.16 pence per gram.

Step 2

Calculate the cost per gram of the 25 g packet

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Answer

For the 25 g packet, we apply the same calculation:

Cost per gram = ( \frac{1.05}{25} = 0.042 ) or 4.2 pence per gram.

Step 3

Compare the cost per gram of both packets

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Answer

Comparing the two:

  • The 100 g packet costs 4.16 pence per gram.
  • The 25 g packet costs 4.2 pence per gram.

Therefore, the 100 g packet is better value for money.

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