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Tea bags of similar quality are sold in three different sized packs: Small Pack 80 tea bags for £2.10 Medium pack 150 tea bags for £3.55 Large pack 220 tea bags for £5.25 (a) Which pack is the best value for money? Show how you decide - OCR - GCSE Maths - Question 15 - 2018 - Paper 1
Question 15
Tea bags of similar quality are sold in three different sized packs: Small Pack 80 tea bags for £2.10 Medium pack 150 tea bags for £3.55 Large pack 220 tea bags f... show full transcript
Worked Solution & Example Answer:Tea bags of similar quality are sold in three different sized packs: Small Pack 80 tea bags for £2.10 Medium pack 150 tea bags for £3.55 Large pack 220 tea bags for £5.25 (a) Which pack is the best value for money? Show how you decide - OCR - GCSE Maths - Question 15 - 2018 - Paper 1
Step 1
a) Which pack is the best value for money? Show how you decide.
Answer
To determine which pack is the best value for money, we need to calculate the cost per tea bag for each pack.
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Small Pack:
- Price: £2.10 for 80 tea bags.
- Cost per tea bag: ext{Cost per tea bag} = rac{£2.10}{80} = £0.02625
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Medium Pack:
- Price: £3.55 for 150 tea bags.
- Cost per tea bag: ext{Cost per tea bag} = rac{£3.55}{150} = £0.02367
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Large Pack:
- Price: £5.25 for 220 tea bags.
- Cost per tea bag: ext{Cost per tea bag} = rac{£5.25}{220} = £0.02386
Now summarizing the cost per tea bag:
- Small Pack: £0.02625
- Medium Pack: £0.02367
- Large Pack: £0.02386
From the calculations, the Medium Pack at £0.02367 per tea bag offers the best value for money.
Step 2
b) Explain why someone may buy a pack which is not the best value for money.
Answer
Someone may choose to buy a pack that is not the best value for money for several reasons:
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Convenience: A smaller pack may be more convenient for personal use or specific occasions, allowing for easier storage or transport.
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Preference: Individuals may have preferences for specific brands or pack sizes that don't align perfectly with value calculations.
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Bulk Buying: Some may not be able to afford a larger pack upfront, despite a lower cost per unit.
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Freshness: Buying smaller quantities can ensure that the tea remains fresh, catering to personal taste.