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Today Programme Maths Puzzle

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drmorgans | 10:02 Mon 02nd Mar 2020 | Quizzes & Puzzles
6 Answers

As you may know BBC Radio 4’s Today programme normally sets a maths puzzle just before the 7 am news. They vary from in-seconds to head-scratcher.

Today’s

A group of men and women go out for coffee. The men pay £6, the women £5 (the presenter queried why the men paid more). The total bill is £171.

How many different combinations of men and women are there?

I have my answer, which I will post later.
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6
27W & 6M, 23W & 11M, 15W & 16M, 9W & 21M 3W & 26M

Is that enough
6
1,33 6,27 11,21 16,15 21,9 26,3
Looks like the sort of thing I'd let my spreadsheet find. 34 folk max. Column for 0 to 34 men, next column = number of women to bring the bill total to near £171. Spot those that are exactly £171.
Question Author

I thought it was 6 too.

I tried to narrow down the possibilities logically. The only combinations of 6 and 5 that end in a 1 are multiples of 6 ending in 6 and an odd number of 5s.

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Today Programme Maths Puzzle

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