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If I can buy a Cow for £10.00, a pig for £1.00 and 8 chickens for £1 how many of each do I buy so that both the cost and the amount of animals I buy add up to 100 - so £100 to spend on 100 animals

2007-01-12 01:44:40 · 6 answers · asked by oddjobbob 1 in Science & Mathematics Mathematics

6 answers

Let c, p, h be the # of Cows, Pigs and cHickens to buy.

Your equations:

c + p + h = 100 (number of animals bought)
10c + p + h/8 = 100 (total cost)

Subtract one from the other:
9c - 7h/8 = 0
---> 72c = 7h

So c has to be a multiple of 7. At £10 per cow, this leaves only two possibilities:
c=0, h=0 ---> p=100 (buy 100 pigs and nothing else)
c=7, h=72 ---> p=21 (the non-trivial solution)

By the way, this one reminds me of a good joke:
This guy has a half-dozen penguins in his house that he wants to get rid of. He asks his neighbour (who has a pickup truck) to take the penguins to the zoo. He offers him $200 for his trouble. The neighbour accepts, takes the money, loads the penguins onto his truck and takes off.

Being quite relieved of no longer being stuck with a bunch of penguins, the guy decides to go out that afternoon. When he gets downtown, he is surprised to see his neighbour crossing the street, followed by his six penguins! So he goes to confront him:

"Hey you! didn't I pay you $200 to take these birds to the zoo??!?"

"Sure, and so I did. But we had a bit of money left, so I'm taking them to the movies now."

2007-01-12 02:08:42 · answer #1 · answered by Anonymous · 0 0

8 cows $80
80 chickens $8
12 pigs $12

100 animals $100

2007-01-12 01:53:38 · answer #2 · answered by wheresdean 4 · 0 1

or 100 pigs

2007-01-12 01:59:10 · answer #3 · answered by nomansland 2 · 0 0

Sorry, can not help laughing at your very last remark about turning out to be as a man or woman! i imagine I by no skill seen giving someone a thumbs up for a real deserved answer as a length of boom!! ;-)

2016-11-23 13:53:31 · answer #4 · answered by ballow 4 · 0 0

I think your question may be wrong

check whether 2pig or 1 pig for £ 1.00

2007-01-12 02:00:58 · answer #5 · answered by Thava 1 · 0 1

its not possible if you want to buy for exact number or exact amount.......
atleast i doont think so.. if someone can come with a solution, good enough!

2007-01-12 02:08:35 · answer #6 · answered by Anonymous · 0 1

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