Photo AI

Joan makes cups of tea and coffee at a lunch club - OCR - GCSE Maths - Question 14 - 2019 - Paper 1

Question icon

Question 14

Joan-makes-cups-of-tea-and-coffee-at-a-lunch-club-OCR-GCSE Maths-Question 14-2019-Paper 1.png

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

96%

114 rated

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 56 ext{ cups} imes 250 ext{ ml/cup} = 14000 ext{ ml}

Since 1 litre is equal to 1000 ml, we convert millilitres to litres:

14000extml=14extlitres 14000 ext{ ml} = 14 ext{ litres}

Step 2

Determine the amount of water already available

99%

104 rated

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:

14extlitres10extlitres=4extlitres 14 ext{ litres} - 10 ext{ litres} = 4 ext{ litres}

Step 3

Calculate the number of times the kettle needs to be boiled

96%

101 rated

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=4extlitres1.7extlitres/kettle ext{Number of boils} = \lceil \frac{4 ext{ litres}}{1.7 ext{ litres/kettle}} \rceil

Calculating this gives:

41.72.35 \frac{4}{1.7} \approx 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.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;