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#1 2013-03-13 00:50:06

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,172
Website

The Sweets Problem

In a school, there are 4 more students in Class A than in
Class B, and 4 more students in Class B than in Class C. As
a reward for good behavior, a teacher decides to give out some sweets. Every student in class C got 5 more sweets
than every student in Class B, and every student in Class B got 3 more sweets than every student in Class A. As it turns
out, Class A got 10 more sweets than Class B, and Class B
got 14 more sweets than Class C. How many sweets were
given out in all?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#2 2013-03-13 01:36:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,237

Re: The Sweets Problem

Hi Agnishom;

Last edited by bobbym (2013-03-13 01:54:48)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2013-03-13 01:55:00

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,426

Re: The Sweets Problem

hi Agnishom

I'm getting

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#4 2013-03-13 03:48:23

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,172
Website

Re: The Sweets Problem

You all are correct but how to solve it?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#5 2013-03-13 04:38:27

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,426

Re: The Sweets Problem

hi Agnishom,


Bob

Last edited by bob bundy (2013-03-13 04:38:46)


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#6 2013-03-13 04:41:05

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,237

Re: The Sweets Problem

Hi Agnishom;

Just a bunch of linear equations. Not too difficult to do.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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