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Regdafarmer puzzle

 
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Mol
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PostPosted: Sun Mar 14, 2010 8:55 pm    Post subject: Regdafarmer puzzle Reply with quote

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.)
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bearing
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PostPosted: Sun Mar 14, 2010 9:23 pm    Post subject: Reply with quote

FECK!!!

*screws algebraic head on*

I'll get back to you on this one.
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fartcatcher
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PostPosted: Sun Mar 14, 2010 9:51 pm    Post subject: Reply with quote

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.
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bearing
Gonk

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PostPosted: Sun Mar 14, 2010 10:29 pm    Post subject: Reply with quote

I'm into using some simultaneous equations.
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sheeps
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PostPosted: Mon Mar 15, 2010 1:03 pm    Post subject: Reply with quote

You dirty dirty bastard.
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bearing
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PostPosted: Mon Mar 15, 2010 5:54 pm    Post subject: Reply with quote

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
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fartcatcher
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PostPosted: Mon Mar 15, 2010 8:47 pm    Post subject: Reply with quote

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.
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bearing
Gonk

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PostPosted: Mon Mar 15, 2010 8:49 pm    Post subject: Reply with quote

It's actually a diophantine equation.
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fartcatcher
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PostPosted: Mon Mar 15, 2010 9:08 pm    Post subject: Reply with quote

bearing wrote:
It's actually a diophantine equation.


that's enough toilet talk
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bearing
Gonk

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PostPosted: Mon Mar 15, 2010 11:17 pm    Post subject: Reply with quote

Where's Mol, he needs to mark my homework.
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Mol
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PostPosted: Wed Mar 17, 2010 2:09 am    Post subject: Reply with quote

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


A plus.
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bearing
Gonk

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PostPosted: Wed Mar 17, 2010 7:59 am    Post subject: Reply with quote

*beams*
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Grind
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PostPosted: Wed Mar 17, 2010 4:33 pm    Post subject: Reply with quote

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

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PostPosted: Wed Mar 17, 2010 4:48 pm    Post subject: Reply with quote

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


Ask Mol.
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