Asked by junebug

i have 100.00 to spend on 100 animals. the chickens are .05 each, the pigs are 5.00 each, and the cows are 10.00 each.
Answered by Reiny
What is your question?
Can I spend less than $100 ?
Can I have less than 100 animals ?

let the number of chickens be x
let the number of pigs be y
then the number of cows is 100-x-y

so ...
.05x + 5y + 10(100-x-y) = 100
times everything by 20
x + 100y + 200(100-x-y) = 2000
x + 100y + 20000-200x - 200y = 2000
-100y - 199x = -18000
100y = -199x + 18000
y = (-199/100)x + 180

If you MUST spend $100 and you MUST have 100 animals there is obviously no solution.

If the condition is as I stated at the top of my reply, there are quite a few cases that will work, as long as the number of animals does not exceed 100 and the cost does not exceed $100
e.g. 2 cows, 10 pigs and 10 chicken satisfy that condition.

BTW, 5 ยข for a chicken ?????
When was your mathbook printed, in 1850?

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