there are 18 animals in a field which includes chickens, sheep, cows. the total number of legs is 10 more than thre times the total number of heads. how many chickens are in the field?
2006-11-23 16:05:33 · 6 answers · asked by Han Tran 2 in Science & Mathematics ➔ Zoology
Well, let's see.
18 = b + s + c, where b means bird(chicken)
total number of legs:
Lt = 2b+4s+4c, right?
Lt = 3Ht +10 , total legs 10 more than 3 times number of heads
I'd assume each animal only has one head, thus Ht = 18
Lt = 3*18+10 = 64
Like most problems of this sort you must find integer solutions.
18 = b + s + c
74 = 2b + 4s + 4s
A trial and error procedure is effective.
start at
b=s=c=6, -> Lt = 12+24+24 = 60, need more legs!
b,s,c
5,7,6, -> Lt = 10+28+24 = 62,
4,7,7 -> Lt = 8+28+28 = 64 <------------- bingo
Note that you can freely shift sheep and cows as long as the total is 14. So, there are other solutions:
4,14,0 -> Lt=8+56 =64....no cows.....
2006-11-23 16:19:11 · answer #1 · answered by modulo_function 7 · 1⤊ 0⤋
The funny thing is, for this problem, there's not really any difference between a sheep and a cow (!). They both have four legs and one head.
Let c = number of chickens
Let o = number of other (cows and sheep)
Try to find two equations involving these two variables, and solve for c.
(There are how many animals? How many legs?)
2006-11-23 16:47:07 · answer #2 · answered by wallstream 2 · 0⤊ 0⤋
Is it 5.
2006-11-23 16:16:00 · answer #3 · answered by shortycupcake_ci 2 · 0⤊ 1⤋
in case you have performed two times each and every week for 6 years,then you definately've performed 6 x fifty two x 2 = 624 video games. Odds of winning a tenner are a million in fifty six. 624 divided by fifty six = 11,so your 'commonplace' returns might basically be £one hundred ten. upload to this the actuality that your opportunities of winning a tenner are a million in fifty six in each and every activity,even with what your consequences have been in previous video games,so in case you have fifty 5 dropping video games,your opportunities of winning a tenner contained in the 56th activity continues to be a million in fifty six;further in case you win a tenner on your first activity,your opportunities of winning a tenner on your 2nd activity continues to be a million in fifty six, in actuality whether all 624 video games have been dropping video games,then your opportunities of winning a tenner contained in the 625th activity might nevertheless be a million in fifty six(even nonetheless you will possibly might desire to be extremely unlucky to pass 624 video games without a win).
2016-10-04 07:38:17 · answer #4 · answered by bugenhagen 4 · 0⤊ 0⤋
NONE. All the chicken has been salughter for Thankgiving.
2006-11-23 16:11:20 · answer #5 · answered by Anonymous · 0⤊ 1⤋
mutant cows have two heads
2006-11-23 16:18:23 · answer #6 · answered by miligrito 2 · 0⤊ 1⤋