100 animals 100 dollars? easy? I thought so.

  • Thread starter Automagman
  • Start date
  • Tags
    Animals
In summary, the conversation revolves around the task of purchasing 100 animals with a budget of $100, with the requirement of at least one of each type of animal. The three types of animals mentioned are cows, pigs, and chickens, with prices of $10, $1, and $0.50 respectively. The conversation includes various solutions and methods for finding the number of each type of animal needed to meet the criteria, with different approaches leading to different answers.
  • #1
Automagman
16
0
I have to buy 100 animals, I have to use 100 dollars, I have to get at least 1 of each.

Cow(X) = 10 bucks
Pig(Y) = 1 buck
Chicken(Z) = .5 bucks, 50 cents, 2 quarters

This looked really easy at first but I kept getting stuck, how do I get through this?

Restraints I came up with.

x+y+z=100
10x+1y+.5z=100
X is greater than or equal to 1 and is less than or equal to 10
Y is greater than or equal to 1
Z is greater than or equal to 1
 
Last edited:
Mathematics news on Phys.org
  • #2
does the total cost have to be $100 also??
 
  • #3
i have the answer!

hint:

x (cows) can be reasonably guessed.

then you go from there

(this is how i did it. trial and error.lol)

only problem is, if you have to show work in terms of math, I am not sure.

i just tried out various values. took me a couple minutes.
 
  • #4
Your system is fine. Solve it to get

[tex]x - \frac{z}{18} = 0, \; y + \frac{19}{18}z = 100[/tex]

so you can choose [itex]z=18 \Longrightarrow x = 1, \; y = 81[/itex].
 
  • #5
Data: so you can choose z=18,x=1,y=81
But, that fails to equal $100, since we have 10x1+1x81+.05x18 =$91.90.

Frankly, the number of chicken must be a multiple of 20, since the other monetary values are in dollars. Then while we are at it, the cost of the pigs and the chickens must be a multiple of $10.
 
Last edited:
  • #6
nope ... the number of chickens is not a multiple of 20
 
  • #7
If the total cost is to be $100 how are we to get rid of the odd nickels if the chickens are not a multiple of 20? Are you planning to add a tax?
 
  • #8
its not nickels, but $0.50
 
  • #9
oops, i used $0.5 for [itex]z[/itex]~

There's no positive integer [itex]z[/itex] that also makes [itex]x[/itex] and [itex]y[/itex] positive integers that satisfies the system if it's really $0.005.
 
  • #10
at least for my answer and what he wrote above (.5) which i took as 50 cents
 
  • #11
i had a different answer

4 cows = $40
24 pigs = $24
72 chickens = $36
===============
100 animals at $100
 
  • #12
It's even worse than nickels. The way that he stated it it was half-pennies.
 
  • #13
Yes, there are several possible answers if a chicken costs $0.5.
 
  • #14
I get:

x,y,z
1, 81, 18
2, 62, 36
3, 43, 54
4, 24, 72
5, 5, 90
 
  • #15
woops, lol ahaha. I feel retarded. chickens are 50 cents, or 2 quarters. Wow sorry about that.

note- made a few changes to my first post to answer some of your questions
 
Last edited:

What is "100 animals 100 dollars?"

"100 animals 100 dollars" is a phrase that refers to a hypothetical situation where someone purchases 100 animals for only 100 dollars. It is often used as an example of a seemingly impossible or too good to be true scenario.

Is it easy to buy 100 animals for 100 dollars?

No, it is not easy to buy 100 animals for 100 dollars. This is because the cost of animals can vary greatly depending on the species, breed, and quality. It is unlikely that you would be able to find 100 animals of any kind for only 100 dollars.

Why do people say "100 animals 100 dollars"?

People say "100 animals 100 dollars" as a way to express disbelief or to emphasize the unlikelihood of a situation. It is often used in a sarcastic or humorous manner.

Is it possible to buy 100 animals for 100 dollars?

While not impossible, it is highly unlikely to buy 100 animals for only 100 dollars. As mentioned earlier, the cost of animals can vary greatly and it would be difficult to find such a large number of animals at such a low price.

Are there any real-life examples of "100 animals 100 dollars?"

There are no known real-life examples of someone buying 100 animals for 100 dollars. However, there have been instances where large numbers of animals were purchased for relatively low prices, such as during livestock auctions or in cases of animal hoarding. But even in these situations, the cost per animal is usually much higher than 1 dollar.

Similar threads

  • MATLAB, Maple, Mathematica, LaTeX
Replies
4
Views
503
  • Programming and Computer Science
Replies
1
Views
1K
  • General Math
Replies
6
Views
2K
  • Precalculus Mathematics Homework Help
Replies
7
Views
801
  • General Math
Replies
1
Views
2K
  • General Math
Replies
3
Views
2K
  • General Math
Replies
1
Views
1K
  • Precalculus Mathematics Homework Help
Replies
5
Views
761
  • General Math
Replies
28
Views
2K
Replies
8
Views
817
Back
Top