Ihave $100 and have to buy 100 animals the cows are $15 each the goose are $1 each and the chickens are $.25?

Question

How many cows chicken and goose do i have each to equal $100 dollars and 100 animals!!

Answer 1

My comment is, Goose needs to be changed to Geese when speaking of more than one.....

Answer 2

You could just buy 100 geese, but I have a feeling you're supposed to buy at least one of each, right? That makes it harder.

Buy three cows for $45. Now you've spent 42 more dollars than you've bought animals. You therefore want to save $42 on the chickens (relative to $1 each) to get the number of animals equal to the number of dollars. Then you can spend the rest on geese.

Each chicken costs $0.25, meaning that you get $0.75 closer to having the number and cost equal with each chicken. Every four chickens saves you three dollars. So 42/3 * 4 = 56 and that's how many chickens to buy. Chech it by figuring out the cost: $45 + 56*0.25 = $45 + 14 = 59; 56 + 3 = 59. So you buy three cows and 56 chickens and spend the rest--$41--on geese.

3 cows
41 geese
56 chickens

Answer 3

3 Cows = 3 x $15 = $45
41 Geese = 41 x $1 = $41
56 Chickens = 56 x $0.25 = $14

So the total Money spent = 45+41+14 = $100.
And the number of animals bought = 3+41+56 = 100.

Answer 4

Here we have three variables
and 2 equations. One more basic fact
is that we can not have fraction answers.
Let the no. of cows,goose,chicken be x,y,z
respectively. We have the equations
x+y+z=100........[1]
15x+y+.25z=100....[2]
[2]-[1] we have
14x-.75z=0
x=[.75/14]z
We choose a value of z such that
we have whole value of x
z=56
x=3
Then y=41
Please note we can have infinite solutions
since we have only 2 eqn. for three variables.

Answer 5

what are the stipulations on the animal numbers...do you have to have at least 2 cow? or at least one of each? I mean if there are no qualifiers then just buy 100 geese. but generally can use 100=15x+1y+.25z......

Answer 6

there are multiple solutions.
You'll need to write out the equations and solve them.

100= ax+by+cz

one solution is a=0. c=0 and b=100. (i.e.. buy 100 geese)


er... why is this under zoology?

Answer 7

you live in a cheap town...I would by 200 if its that cheap!!