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Mol

Regdafarmer puzzle

You're a farmer. You're going to a market to buy some animals. On the market there are 3 types of animals for sale. You can buy Horses for 10 each, goats for 1 each, and ducks, you get 8 of these per bunch and each bunch costs 1. The aim is to acquire 100 animals at the cost of 100, what is the combination of horses, goats and ducks that allows you to do this? (you must buy at least one of each.)
bearing

FECK!!!

*screws algebraic head on*

I'll get back to you on this one.
fartcatcher

bloody hell - if this has perplexed bearing than i've got no chance.

I am going to the pub where i shall ask my friend the PhD.
bearing

I'm into using some simultaneous equations.
sheeps

You dirty dirty bastard.
bearing

Got it!!!!

7 horses
21 Goats
72 Ducks or 9 bunches

let me explain as this is a bit of a fucker cause there's more variables than equations.

I'll label horses as a, goats as b, and sheep as c.


1) 10a + b + 1/8c = 100
2) a + b + c = 100

re-arrange number 2 to give:

3) c = 100 - a - b

replace c with 100 - a - b into 1) gives:

10a + b + 100/8 - a/8 - b/8 = 100

simplify that to give:

79a + 7b =700

Needed to crunch some numbers into a in the above equation so that the result of 79 * a is divisible by 7

Anyway I came up with a=7 meaning b=21

put those values into equation 3)

c=100-7-21

c= 72
fartcatcher

b*st*rd

beat me to it.

worked it by trial and error. helped by a couple of pints of Taylors.

none of your fancy quadratic equations

nice one Mol. Kept the boys (and girl) busy for an hour last night.
bearing

It's actually a diophantine equation.
fartcatcher

bearing wrote:
It's actually a diophantine equation.


that's enough toilet talk
bearing

Where's Mol, he needs to mark my homework.
Mol

bearing wrote:
Where's Mol, he needs to mark my homework.


A plus.
bearing

*beams*
Grind

So who's going to clean up all this scat?
bearing

Grind wrote:
So who's going to clean up all this scat?


Ask Mol.

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