SOLUTION: a cow costs 10 pounds, 8 chickens cost 1 pound and 1 pigs cost 2 pounds. you have 100 pounds. spend exactly 100 pounds and get 100 animals.

Question 195257: a cow costs 10 pounds, 8 chickens cost 1 pound and 1 pigs cost 2 pounds. you have 100 pounds. spend exactly 100 pounds and get 100 animals.
Found 2 solutions by solver91311, ankor@dixie-net.com:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Can't be done.

Since the prices of cows and pigs are even numbers, the sum of the cost of all the cows and pigs purchased must be an even number as well. Subtracting an even number from 100 results in an even whole number. Therefore the only possible quantities of chickens that could be purchased must be even multiples of 8. In other words you could buy 0, 16, 32, 48, 64, 80, or 96 chickens.

If you buy 0 chickens, you must spend the entire 100� on 100 animals each of which has a price per each > 1�. Impossible.

If you buy 16 chickens, you must spend 98� on 84 animals. You would use up the entire 98� on 49 pigs, leaving you short 35 animals with no money left.

If you buy 32 chickens, you must spend 96� on 68 animals. Same problem, you use up your 96� buying 48 pigs and you are 20 animals short of your goal.

If you buy 48 chickens, you must spend 94� on 52 animals. Again, your 94� gets you at most 47 pigs -- still 5 animals too few.

If you buy 64 chickens, you have 92� to spend on 36 animals. Now we are getting into the realm of possibility, but:

Let x represent the number of cows and let y represent the number of pigs, leaving us with the following situation:

Number of animals

Cost of animals

Solving this system of equations is left as an exercise for the student, but suffice it to say that, were this the appropriate solution, you would have to purchase fractional parts of cows and pigs. Therefore, this is not feasible.

If you buy 80 chickens, you have 90� to spend on 20 animals -- but:

Number of animals

Cost of animals

Again, this results in a non-integer solution. Not feasible.

Finally, if you purchased 96 chickens, then you would have 88� to spend purchasing 4 animals. The best you would be able to do is purchase 4 cows for 40� leaving you with all 100 animals, but 48� unspent.

John

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a cow costs 10 pounds, 8 chickens cost 1 pound and 1 pigs cost 2 pounds.
you have 100 pounds. spend exactly 100 pounds and get 100 animals
:
Solution is not possible as written, please check it for accuracy.
Pigs is plural, makes me suspect their is a typo on the no. of pigs for 2pds
RELATED QUESTIONS
We have a whole bunch of these questions and I can't figure out how to set it up to solve (answered by stanbon)
1 pound of peanuts cost $2.80 and 1 pound of cashews cost $5.30. 1 pound of mixed nuts... (answered by mananth)
Fred wants to prepare a snack mix comprised of peanuts and dried fruit. Peanuts cost $5 a (answered by checkley77)
Kate wants to prepare a snack mix comprised of peanuts and dried fruit. Peanuts cost $7 a (answered by mananth)
6 pounds of peas and 5 pounds of string beans cost $1.48. At the same time and place, 8... (answered by checkley77)
If one pound can feed either 5 chickens or 2 pigs, then ten pounds of grain can feed 20... (answered by ikleyn)
a famer has $100 doallrs to spend on 100 animals. he has to end up with 100 animals.... (answered by KMST)
find cost per pound of a coffee mixture made from 7 pounds coffee that cost $9.50 per... (answered by solver91311)
Cashews cost $4 per pound and peanuts cost $1 per pound. How many pounds of peanuts... (answered by ankor@dixie-net.com)