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

Question 3

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
Calculate the cost per gram of the 100 g packet

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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.
Calculate the cost per gram of the 25 g packet

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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.
Compare the cost per gram of both packets

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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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