Today Puzzle #740
Puzzle No. 740– Friday 15 May
At a meeting of coin collectors, every person has a collection of one, five and ten pence coins. Every coin collector has fifty coins in their pocket that when added together give a total of one pound. If no two people brought the same combination of 1p, 5p and 10p coins, what is the largest possible number of people at the meeting?
Today’s #PuzzleForToday has been set by Dr Steve Humble from Newcastle University
Click here for the answer
There would be only 1 coin collector at the meeting with a combination of two 10ps, eight 5ps and forty 1ps.
Details of a possible solution are
M+5N+10P=100
M+N+P=50
subtracting these gives 4N+9P=50 which has only one integer solution for our puzzle.
-
Puzzle for Today – Index
Find all of the currently available Puzzles for Today, with answers.
More fiendish brain-teasers and quizzes on Â鶹¹ÙÍøÊ×Ò³Èë¿Ú Radio...
-
From autumn leaves to the magic roundabout: test yourself with our favourite quizzes.
-
We asked the intelligence agency to set our listeners a code-cracking challenge... Can you solve it?
-
Quiz: How many of these Mastermind music questions can you answer?
Here's a chance to find out whether your specialist subject on Mastermind could be the entire history of music.
-
Six conundrums to grapple with, including the Riddle of the Sphinx. Try not to forfeit your life...