How can you sell apples equally among three sons with the same procedure?

  • Context: High School 
  • Thread starter Thread starter BaRoN NiGhT
  • Start date Start date
  • Tags Tags
    Puzzle
Click For Summary

Discussion Overview

The discussion revolves around a puzzle involving the distribution of 90 apples among three sons (A, B, and C) such that they all earn the same income from selling their respective shares of apples. The focus is on finding a selling procedure that allows for equal income despite the differing quantities of apples assigned to each son.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant suggests that each son could sell the apples for free to achieve equal income, but acknowledges uncertainty about this approach.
  • Another participant argues that giving apples away for free does not constitute selling and emphasizes the need for a consistent selling procedure.
  • A suggestion is made to sell each apple for an exaggerated price, but this is dismissed as unrealistic.
  • One participant asks for clarification on what is meant by "procedure," indicating a need for a clearer definition.
  • Another participant proposes selling the apples by the pound as a potential method.
  • A later reply suggests selling bags of apples for a fixed price, with each bag containing a specific number of apples, as a way to ensure equal income for all sons.
  • The original poster acknowledges the flaws in their puzzle and presents a revised method involving bags of apples sold at different prices to achieve equal earnings for each son.

Areas of Agreement / Disagreement

Participants express differing views on how to approach the problem, with no consensus reached on a single solution. Some methods are proposed and debated, but the discussion remains unresolved regarding the best procedure for selling the apples.

Contextual Notes

The discussion highlights various assumptions about selling procedures and pricing strategies, with some participants questioning the practicality and realism of proposed solutions. There are also indications of confusion regarding the initial puzzle's requirements.

BaRoN NiGhT
hi! I've got a puzzle.can u solve it?here it is:

a father has 90 apples.he has 3 children: A,B,and C.one day, the father told his children this:

Come here A, sell this 50 apples with the same procedure like your 2 brothers that result the same income
Come here B, sell this 30 apples with the same procedure like your 2 brothers that result the same income
Come here C, sell this 10 apples with the same procedure like your 2 brothers that result the same income

how can u sell it to have the same income between those three with the same procedure?

--------------------
[PLAIN]http://www.pesantren.net/khazanah/imej-pionir/ibnsina.jpg
Ibnu Sina (Avicenna in the West)
The Teacher of Kings
 
Last edited by a moderator:
Mathematics news on Phys.org
as i understand i think each son could sell the apples for free so they will get the same income
or:
a=1/5 $ "for each apple"
b=1/3 $
c=1 $

am i right?
because i feel i am in a bigggggg wrong
 
not quite right.giving for free is not selling.as i said, they have to sell it.and the 1/5,1/3,and the 1 $ thing is also not the answer.its not the same procedure. ifyou sell it like that, the procedure would not be the same.the procedure has to be the same.

--------------------
http://www.pesantren.net/khazanah/imej-pionir/ibnsina.jpg
Ibnu Sina (Avicenna in the West)
The Teacher of Kings
 
Last edited by a moderator:
well, how about exagerating and selling each apple for [oo] $ (or whatever currency they used)?
 
ow c'mon, what apple costs [oo] $ ? this a real thing and can be done in a real life too.and this doesn't has a connection wtih currencies.

--------------------
[PLAIN]http://www.pesantren.net/khazanah/imej-pionir/ibnsina.jpg
Ibnu Sina (Avicenna in the West)
The Teacher of Kings
 
Last edited by a moderator:
What do you mean by procedure ?
 
sell them by the pound
 
origionally posted by jb

sell them by the pound

I agree.
 
Each sell a bag of apples for $10.
Each bag has all the apples given to each son.
 
  • #10
Originally posted by Dave
Each sell a bag of apples for $10.
Each bag has all the apples given to each son.

guess my puzzle has some holes in it.i think it could be answered by daves answer, but that's not what i mean.well, i think i need to expose it, cause the inperfection of my puzzle that has been found by dave.my version is:


-put those apples in a bag with each bag contains 7 apples.sell it for 1 $
-the rest of apples,sell it with 7 $

now u can calculate that

A= (1$ x 7 bags) + 3$ x 1 apple = 10$
B= (1$ x 4 bags) + 3$ x 2 apples = 10$
C= (1$ x 1 bag) + 3$ x 3 apples = 10$

thats it.good for u dave!
--------------------
http://www.pesantren.net/khazanah/imej-pionir/ibnsina.jpg
Ibnu Sina (Avicenna in the West)
The Teacher of Kings
 
Last edited by a moderator: