Riddle time

Dups. · Post by **Dups.** » October 4, 2004, 3:04 pm

Cat = 50 cents
Dog = 3 dollars
Horse = 10 dollars

You need to purchase 100 animals. You need to have at least one of each (so at least 1 cat , dog and horse). The total amount for these 100 animals needs to equal 100 dollars.

Use a spoiler tag if you think you have the answer. As to not spoil it for others please.

Neost · Post by **Neost** » October 4, 2004, 3:12 pm

How about:

[Show]: nevermind, i re-read and i missed the requirement for 100 animals.

archeiron · Post by **archeiron** » October 4, 2004, 3:21 pm

There are two equations and loose limitations, so there are many solutions:

[Show]: 94 cats ($47), 1 dog ($3), and 5 horses ($50) is 100 animals ($100)

Ah, yeah, there is only one solution with positive integer values. I doubt that someone would sell part of a horse or negative number of cats.

Llaffer · Post by **Llaffer** » October 4, 2004, 3:32 pm

Solved with a c program:

[Show]: 94 cats; 1 dog; 5 horses

I tried to use algebra, but with 2 formulas and 3 variables, couldn't be solved. If there is a 3rd formula in that, I've failed to see it.

archeiron · Post by **archeiron** » October 4, 2004, 4:07 pm

Llaffer wrote:Solved with a c program:

[Show]
94 cats; 1 dog; 5 horses
I tried to use algebra, but with 2 formulas and 3 variables, couldn't be solved. If there is a 3rd formula in that, I've failed to see it.

[Show]: x = no. of cats
y = no. of dogs
z = no. of horses

given:

0.5x + 3y + 10z = 100
x + y + z = 100

therefore x = 100 - y - z

thus
0.5(100- y - z) + 3y + 10z = 100
or

y = 20 - (19/5)z

We want the value of all three numbers to be positive integers, so z should be 0, 5, 10, 15.... We also know that all three be greater than 1.

Therefore,

z=5

(if z=10 or greater, then y is negative. If z is not a multiple of 5, then y is not a whole number. All numbers must be greater than 1.)

if z=5, then y=1 and x=94.

Ogbar · Post by **Ogbar** » October 4, 2004, 4:12 pm

Solved by Algebra, more or less as archeiron did it.

Winnow · Post by **Winnow** » October 4, 2004, 4:29 pm

Got the answer by looking at a spoiler.

Ajran · Post by **Ajran** » October 5, 2004, 9:08 am

[Show]: 94 cats = 47, 1 dog = 3 5 horses = 50, 94+1+5= 100 47+3+50=100

Cracc · Post by **Cracc** » October 5, 2004, 4:32 pm

I just realized that:

[Show]: Winnow is gay!

Winnow · Post by **Winnow** » October 5, 2004, 5:53 pm

Cracc wrote:I just realized that:

[Show]
Winnow is gay!

[Show]: My bad! I thought you were a woman!

Rivera Bladestrike · Post by **Rivera Bladestrike** » October 5, 2004, 6:25 pm

Winnow wrote:
Cracc wrote:I just realized that:

[Show]
Winnow is gay!

[Show]
My bad! I thought you were a woman!

[Show]: Well with a Hello Kitty as his avatar, who could blame you!

*~*stragi*~* · Post by ***~*stragi*~*** » October 5, 2004, 6:41 pm

[Show]: I approve of posting everything from now until ever, under the spoiler tag.