SOLUTION: On my math test today we had a bonus question. I want to see if I got it right. A farmer has 30 animals. One day he decided to count all the legs. He counted a total of 74 legs

Question 463884: On my math test today we had a bonus question. I want to see if I got it right.
A farmer has 30 animals. One day he decided to count all the legs. He counted a total of 74 legs. How many chickens and goats does he have?
I came up with 22 chickens and 8 goats.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A farmer has 30 animals. One day he decided to count all the legs. He counted a total of 74 legs. How many chickens and goats does he have?
I came up with 22 chickens and 8 goats.
-------------------
Animal Equation: c + g = 30 animals
Legs Equation: 2c +4g = 74 legs
---------------------
Divide thru the legs equation by 2:
c + g = 30
c + 2g = 37
---
Subtract the top equation from the bottom to get:
g = 7 (# of goats)
---
Solve for "c":
c + 7 = 30
c = 23 (# of chickens)
-------
Checking:
23 chickens have 46 legs
7 goats have 28 legs
-----
Total legs = 74
=========================
Cheers,
Stan H.
===========

RELATED QUESTIONS
Hello I have a lot of math to do for homework and I forgot how to do it since we just... (answered by josgarithmetic)

how do u do the binary operations!? we had a test on it today and i think i failed... (answered by kyle491)

I have a word problem that I'm trying to help my child with. I have the answer, but... (answered by mananth)

I hope I picked the right topic... Here is the word problem, out of my book: In the... (answered by nerdybill,jim_thompson5910)

I had a test of 46 questions: one question equaled 4 points, a second question had 5... (answered by lynnlo)

I need to see how to solve this word problem: A boy was offered a bonus if he sold 100 (answered by stanbon)

How many 4- digit numbers contain at most 2 zeroes? (Caution: A 4- digit number does not... (answered by Edwin McCravy)

i am working on hyperbola's and im not sure if i am understanding it yet. could see if i... (answered by Nate)

i am working on hyperbola's and im not sure if i am understanding it yet. could see if i... (answered by venugopalramana)