Mathematics
Junior Mathematical Challenge
2023
11

11

To save money, Scrooge is reusing tea bags. After a first ‘decent’ cup of tea, he dries the bag and uses two such dried bags to make a new ‘decent’ cup of tea. These bags are then dried again and four such bags now make a ‘decent’ cup of tea. After that they are put on the compost heap.How many ‘decent’ cups of tea can Scrooge get out of a new box of 120 tea bags?

A. 480

B. 240

C. 210

D. 195

E. 180

Answer

C. 210

SOLUTIOn

As 120 is a multiple of 4, Scrooge is able to use all of the tea bags when he uses two dried teabags per cup and when he uses four dried tea bags per cup. Hence the required number of ‘decent’ cups of tea is 120+120÷2+120÷4 = 120+60+30 = 210.

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Find quick answers to common questions about our lessons, pricing, scheduling, and how Exact Science can help your child excel.
Where do you hold your classes?
We hold our classes online or on-site on Saturdays at our branch in Pimlico Academy, London.
You can find our timetable here.
What do you need to start learning online?
For lessons you only need a computer or phone with a microphone, camera and Internet access. Wherever you are - in London, Nottingham, New York or Bali - online lessons will be at hand.
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What should I expect from the trial lesson?
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We typically explore a range of fun and challenging problems drawn from competitions. We adapt the difficulty based on how the student responds, aiming to make it both accessible and stimulating.

After the session, we’ll have a quick conversation with the parent to share observations and suggest a personalised path forward.
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