If you like a puzzle ..........

Funkydrummer · Post by **Funkydrummer** » Fri Jun 12, 2020 2:52 pm

....... try this one out.

A farmhand is sent to the livestock market with exactly £100 and instructed to buy exactly 100 animals/birds with at least one
each of pigs, cows and hens only. The prices are as follows :-

1 cow = £10
1 pig = £1
8 hens = £1

What quantities of each animals/birds does he buy in order to spend exactly £100 and obtain
the exact requisite 100 animals/birds ?

Zlatan · Post by **Zlatan** » Fri Jun 12, 2020 3:22 pm

I have the answer, but I'll leave it till others have tried

lakedistrictclaret · Post by **lakedistrictclaret** » Fri Jun 12, 2020 3:29 pm

The nearest I can get is 32 hens, 65 pigs and 3 cows. I've got 100 items, but only spent £99.

alboclaret · Post by **alboclaret** » Fri Jun 12, 2020 3:36 pm

Should of read it first

johnalexander · Post by **johnalexander** » Fri Jun 12, 2020 4:28 pm

7 Cows, 21 pigs and 72 hens = 100 animals
£70 cows
£21 pigs
£ 9 hens
------
£100
------
Wo Ho. I can do the working out to if you desire.

SonofPog · Post by **SonofPog** » Fri Jun 12, 2020 4:33 pm

Spoiler: Solution...…

a = number of lots of cows
b = number of lots of Pigs
c = Number of lots of hens

a + b + 8c = 100
10a + b + c = 100

Therefore
a + b + 8c = 10a + b + c
Cancel out the Pigs

=>
a + 8c = 10a + c

=>
7c = 9a

Therefore we know the rations of Lots of Hens to lots of Cows must be 7 to 9

7 Cows = £70 and 7 animals
9 Lots of Hens = £9 and 72 Animals

This leaves us with
21 Pigs at cost £21

Total Animals 100
Total Cost 100

(Edit: Ninja'd by John while typing out the post... honest gov!)

Zlatan · Post by **Zlatan** » Fri Jun 12, 2020 4:34 pm

johnalexander wrote: ↑
Fri Jun 12, 2020 4:28 pm
7 Cows, 21 pigs and 72 hens = 100 animals
£70 cows
£21 pigs
£ 9 hens
------
£100
------
Wo Ho. I can do the working out to if you desire.

same as me

: proof of puzzle.JPG (81.53 KiB) Viewed 1089 times

conyoviejo · Post by **conyoviejo** » Fri Jun 12, 2020 4:53 pm

Have a go at this one..nobody over 40 allowed to put the answer up.lol

ClaretTony · Post by **ClaretTony** » Fri Jun 12, 2020 4:57 pm

conyoviejo wrote: ↑
Fri Jun 12, 2020 4:53 pm
Have a go at this one..nobody over 40 allowed to put the answer up.lol

I don't remember farthings - easy though

Funkydrummer · Post by **Funkydrummer** » Fri Jun 12, 2020 5:14 pm

Is it a poorly octopus plus 1 ?

Zlatan · Post by **Zlatan** » Fri Jun 12, 2020 5:47 pm

£8 10s 16d...?

conyoviejo · Post by **conyoviejo** » Fri Jun 12, 2020 5:49 pm

Zlatan wrote: ↑
Fri Jun 12, 2020 5:47 pm
£8 10s 16d...?

Sorry Zlatan,try again

Funkydrummer · Post by **Funkydrummer** » Fri Jun 12, 2020 5:49 pm

Zlatan wrote: ↑
Fri Jun 12, 2020 5:47 pm
£8 10s 16d...?

Not according to me !

16d = 1s-4d, but it's still not right according to this old duffer !

Zlatan · Post by **Zlatan** » Fri Jun 12, 2020 5:55 pm

£7

is that better. I bolloxed up the conversion in my head

lakedistrictclaret · Post by **lakedistrictclaret** » Fri Jun 12, 2020 5:56 pm

Funkydrummer has it right.

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