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
Determine the range of soup made
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Answer
Sunil makes 7.5 litres of soup, rounded to the nearest 0.5 litre. Therefore, the possible range of soup is:
Lower bound: 7.5 - 0.25 = 7.25 litres
Upper bound: 7.5 + 0.25 = 7.75 litres
In litres, this translates to: 7.25 litres ≤ Soup ≤ 7.75 litres.
Step 2
Calculate the total amount of soup needed
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Answer
Each person is served 300 ml of soup. Thus, the total amount of soup needed for 24 people is calculated as:
300extml/personimes24extpeople=7200extml
Converting this to litres gives:
7200extml=7.2extlitres.
Step 3
Compare the amounts
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Answer
To determine if Sunil has enough soup, we compare the lower bound of soup made to the total needed:
Lower bound of soup: 7.25 litres
Soup needed: 7.2 litres
Since 7.25 litres > 7.2 litres, Sunil has enough soup.
Step 4
Conclusion
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Thus, we can conclude that Sunil definitely has enough soup to serve the 24 people, since the minimum amount he can serve (7.25 litres) is greater than the amount needed (7.2 litres).
