Joan makes cups of tea and coffee at a lunch club - OCR - GCSE Maths - Question 14 - 2019 - Paper 1
Question 14
Joan makes cups of tea and coffee at a lunch club.
Each cup requires 250 ml of boiling water.
She has a kettle that boils up to 1.7 litres of water each time.
She b... show full transcript
Worked Solution & Example Answer:Joan makes cups of tea and coffee at a lunch club - OCR - GCSE Maths - Question 14 - 2019 - Paper 1
Step 1
Calculate total boiling water needed for 56 cups
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Answer
To find the total amount of boiling water needed for 56 cups, we multiply the number of cups by the amount of water each cup requires:
56extcupsimes250extml/cup=14000extml
Since 1 litre is equal to 1000 ml, we convert millilitres to litres:
14000extml=14extlitres
Step 2
Determine the amount of water already available
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Answer
Joan has boiled 10 litres of water in an urn which will contribute to her total requirement.
Thus, the amount of additional water needed is:
14extlitres−10extlitres=4extlitres
Step 3
Calculate the number of times the kettle needs to be boiled
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Answer
The kettle can boil 1.7 litres of water at a time. To find out how many times Joan needs to boil the kettle for the additional 4 litres, we divide the amount needed by the capacity of the kettle:
extNumberofboils=⌈1.7extlitres/kettle4extlitres⌉
Calculating this gives:
1.74≈2.35
Since she cannot boil the kettle a fraction of a time, we round it up:
Joan needs to boil the kettle at least 3 times to provide the additional 4 litres.