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Re: Christmas week Quizzes - Answer to Muffins Question
From: Bill Ritchie
Date: 2021 Jan 4, 10:45 +0000
I hope this isn't too late to comment on a good teaser.

Let a = Milly, b = Molly's mother, c = Milly's mother and d = Molly. Find a.
Given a + b + c + d = 50.
Given c + d = a + b - 4.
Thus 2a + 2b + 4 = 50, a + b = 27.
Given b = a - 1.
Thus 2a - 1 = 27, a = 14.
We don't need to know how many muffins Milly Miffin's mother made more than Molly made, but it adds greatly to the alliteration!

Bill Ritchie

On Sat, Jan 2, 2021 at 2:16 PM David Pike <NoReply_DavidPike@fer3.com> wrote:

I Wrote: Milly Miffin made a muffin more than Molly’s mother made, and Milly Miffin’s mother made a muffin more than Molly made.  Milly, Molly’s mother, Molly, and Milly’s mother made a total of 50 muffins.  However. Milly and Molly’s mother between them made four muffins more than Molly and Milly’s mother made.  So how many muffins did Milly Miffin make? (JAN Hunter ‘Fun with Figures’) DaveP

Let Milly make n muffins, so Molly's mother made n-1 muffins.  Let Milly's mother make m muffins, so Molly made m-1 muffins.
We know that (n+(n-1)) + (m+(m-1))=50 or n+m=26 -------(1)
Also: (n+(n-1))-(m+(m-1))=4                     or n-m=2 -------(2)
Eqn (1) + Eqn (2) gives: 2n=28                   or     n=14
So Milly Miffin made 14 muffins, or a bakers dozen plus 1.
Well done Don Seltzer for getting it correct. DaveP

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