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Four math students ordered three pizzas: one large (55 cm diameter), one medium (44 cm diameter) and one small (33 cm diameter).
Upon delivery they decided to divide it fairly between them by cutting the pizzas into the fewest number of pieces.
Ignoring the toppings and assuming uniformity of thickness please provide a solution with less than 6 pieces.

 Submitted by Ady TZIDON Rating: 3.0000 (2 votes) Solution: (Hide) The three diameters form a right-angled triangle (3:4:5), so the two smaller pizzas are exactly equal to the large bun. Therefore, if we give David and Edgar the two halves, they will have their fair shares—one quarter of the confectionery each. Then if we place the small pizza, on the top of the remaining one and trace its circumference , Fred's piece will exactly equal Harry's small pizza, with the addition of half the rim of the other. Thus each boy gets an exactly equal share, and there are only five pieces necessary. An abridged original solution of Dudeney's puzzle #149.

 Subject Author Date @ Charlie & Steve ==> back to the roots Ady TZIDON 2012-05-25 03:22:37 re: The Bun Problem Charlie 2012-05-20 19:09:21 The Bun Problem Steve Herman 2012-05-19 21:53:37 re(5): Here's a picture -in fact two with links Jer 2012-05-18 08:59:51 re(4): Here's a picture -in fact two with links brianjn 2012-05-18 04:02:48 Trying another picture Jer 2012-05-18 00:45:09 re(2): hands on WRONG xdog 2012-05-17 09:37:35 re(3): Here's a picture. brianjn 2012-05-17 08:50:15 re(2): Here's a picture. Ady TZIDON 2012-05-17 06:51:46 re: hands on WRONG Ady TZIDON 2012-05-17 06:48:53 hands on xdog 2012-05-17 00:24:15 re: Here's a picture. brianjn 2012-05-16 23:34:25 Here's a picture. Jer 2012-05-16 23:06:41 re(3): Solution PLEASE RECONSIDER Ady TZIDON 2012-05-16 19:36:22 re(2): Solution Jer 2012-05-16 13:27:58 re: Solution Ady TZIDON 2012-05-16 12:22:14 re: Pythagorean Ady TZIDON 2012-05-16 12:20:07 Solution Dej Mar 2012-05-16 12:10:21 Pythagorean Jer 2012-05-16 11:04:00

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