Sunil makes 7.5 litres of soup, correct to the nearest 0.5 litre - OCR - GCSE Maths - Question 11 - 2017 - Paper 1
Question 11
Sunil makes 7.5 litres of soup, correct to the nearest 0.5 litre.
He serves the soup in 300 ml portions, correct to the nearest 10 ml.
24 people order this soup.
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Worked Solution & Example Answer:Sunil makes 7.5 litres of soup, correct to the nearest 0.5 litre - OCR - GCSE Maths - Question 11 - 2017 - Paper 1
Step 1
Calculating the Range of Soup Available
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Answer
The volume of soup made by Sunil is 7.5 litres, but this measurement is correct to the nearest 0.5 litre. Hence, the actual volume of soup could range between:
Lower bound: 7.5 - 0.25 = 7.25 litres
Upper bound: 7.5 + 0.25 = 7.75 litres
So the range of available soup is from 7.25 litres to 7.75 litres.
Step 2
Calculating the Volume Served to 24 People
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Answer
Sunil serves the soup in portions of 300 ml. For 24 people, the total volume served would be:
300extmlimes24=7200extml=7.2extlitres
This is the total amount of soup required for all 24 servings.
Step 3
Comparing Soup Amounts
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Answer
Since the total soup required (7.2 litres) is less than the minimum amount available (which is 7.25 litres), Sunil does not have enough soup to ensure he can serve all 24 people, as he cannot meet the required servings.
Step 4
Conclusion
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Answer
Therefore, Sunil definitely does not have enough soup to serve the 24 people.
