More Eggs Eggs Eggs.... and no '7's

[Greg Ward]

Remember the eggs?

With what we had purchased, plus some we had from the previous purchases, we had to get RID OF THEM.

So we took them the the markets at Paddington.

We laid them in rows on a table with the same number in each row.

One man, took away from them 10 times as many eggs as there were rows.

Then his wife (obviously an egg loving family) took away ten times as many eggs as there were originally in each row.

Only one egg remained.... so we gave that away.

How many were there originally on the table?

Greg

[ss_11000]

let # of rows be: x
let the # of eggs in a row be: y
let the total number of eggs be: z

z = 10x + 10y + 1

does that work?

[Greg Ward]

You need an equation for x and y.

'z' complicates and is not needed

Greg

[Wood Butcher]

Stirlo, try

x*y = 10x + 10y +1

[ss_11000]

i was close. mine still works, but as greg says makes it more complicated.

[Greg Ward]

x, y are numbers of rows and eggs in a row

y(x-10)=10x+1

y=10+ 101/(x-10)

i.e x = 11 or 111 in positive integers

answer is 1221 eggs (or 11 rows of 111 or 111 rows of 11)

(101 is a prime number and therefore can't be divided by any number other than 1 and itself)

[wheelinround]

(101 is a prime number and therefore can't be divided by any number other than 1 and itself)

A False statement as 101 can be divided by any number you want to divide it with divided by 2 gives you 50.5 or 50 1/2

divided by 4 gives you 25.25 or 25 1/4

by 7 gives you 14.428571428571428571428571428571

But who'd want half or quarter of an egg

No lets say you have a recipe that calls for dividing 101 eggs this can be taken to mean equal amounts or separating the yolks.

They said the Atom couldn't be split also

[Greg Ward]

Hmmmmm..... depends on whether you want a fraction in your life.

........It would have been a messy day with you at Paddington selling all the eggs

Regards
Greg

[Wongo]

A False statement as 101 can be divided by any number you want to divide it with divided by 2 gives you 50.5 or 50 1/2

A False statement

[wheelinround]

Not really Greg hard boil those that have to be divided easy as cutting pie then you could even pickle some or turn them into deviled eggs

[Wongo]

Well unless you can write your own book about prime numbers and the divisibility rules, what you said was a False statement.

[Greg Ward]

Wongo.... You're right, many numbers cannot be divided or written as a fraction, Pi is another example; in fact as you know there is an infinite number of indivisables.

Wheelin around is however very involved in cooking at the moment and at the moment is making a mess at Paddington with his pickled and boiled eggs.

Are you keeping shots of the new tables to show up as you progress??
Regards

[wheelinround]

The statement is "101 is a prime number and therefore can't be divided by any number other than 1 and itself"

It can be divided just not as a whole number yet even a fraction gives you a whole piece which can once again be divided

I know I suck at maths ( due to missing information) but incomplete statements is what confuses those who struggle with maths.

[Greg Ward]

Sorery for my imprecise english.....

The problem is you stated that '101 could be divided by any number', which is not correct. It may be able to be halved but try dividing by 7 or 11 or 13 or etc.
If you can't cut the eggs into a fraction, it just becomes more and more messy as you move down to the molecular level.

Regards
Greg

[wheelinround]

Thanks Greg you have helped me find a great Maths page http://www.aaamath.com/div.html#topic1

So what your saying is that if you have 101 it can not be divided other than by itself or 1

ie an engineer has a bridge to design over a distance of 101 meters it has to have a centre support, but due to maths definitions he can't be divide it by anything else other than 101 or 1.