SOLUTION: thier are rabits and chiken in the farrm. then the farmer count all his animals and resulted with a sum100 (counting both heads and feets). how many animals chicken and rabits are

Question 159791: thier are rabits and chiken in the farrm. then the farmer count all his animals and resulted with a sum100 (counting both heads and feets). how many animals chicken and rabits are thier?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=number of rabbits
And y=number of chickens
Now we are told that:
5x+3y=100 or
3y=100-5x
y=(100-5x)/3-------------------------------------eq1
Now we know the following about this problem:
(1) We can't have fractional parts of rabbits or chickens---we deal in whole numbers
(2) We can't have negative rabbits or chickens
(3) We can't have zero rabbits or chickens (if we have zero chickens, we have fractional rabbits and if we have zero rabbits, we have fractional chickens)
From eq1, the number of rabbits has to be less than 20, otherwise we either have negative rabbits or zero rabbits. So now we start trial and error:
Looking at eq1, we see that:
if x=2 then y=30
if x=5 then y=25
if x=8 then y=20
if x=11 then y=15
if x=14 then y=10
if x=17 then y=5
SPOT CK
if x=8, then y=20
8*5+20*3=100
40+60=100
100=100
if x=2 then y=30
5*2+3*30=100
10+90=100
100=100
etc.
So, we have lots of answers on this one which is not uncommon when we have more unknowns than equations.
Hope this helps---ptaylor

RELATED QUESTIONS
thier are rabits and chiken in the farrm. then the farmer count all his animals and... (answered by ankor@dixie-net.com)

while walking by a farmyard filled with chicken and rabbits, a farmer decided to count... (answered by KMST)

There are 21 animals on Farmer Cole's farm- all sheep and chickens. If the animals have a (answered by checkley77)

A farmer bought 100 animals. He spent $100. Calves are $10, pigs are $3 and chickens... (answered by ptaylor)

A farmer raises chickens and cows. he has a total of 34 animals in his barnyard. His... (answered by Edwin McCravy)

A farmer has 3 types of animals in his barn: chickens, cows and pigs. The farmer has 80... (answered by ikleyn,Edwin McCravy)

A farmer raises only goats and chickens on his farm. All together he has 47 animals with... (answered by stanbon)

A farmer keeps some chickens and goats in his farm. If there are are altogether 50 heads... (answered by rajagopalan)

Farmer Ben owns only cows and ducks. There are a total of 82 animals. One day, for fun,... (answered by Edwin McCravy)