SOLUTION: In a pen of goats and chickens, there are 70 heads and 150 feet. How many goats and chickens are in the pen?

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: In a pen of goats and chickens, there are 70 heads and 150 feet. How many goats and chickens are in the pen?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 305751: In a pen of goats and chickens, there are 70 heads and 150 feet. How many goats and chickens are in the pen?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of goats.

Let represent the number of chickens.

Presuming that we have no 2-headed chickens or 3-legged goats, which is to say that we presume all goats have one head and four feet while all chickens have one head and two feet, we can make the following assertions:

1:

2:

Multiply the second equation by -2:

3:

Add equation 1 to equation 2:



So




Five goats means 65 chickens.

John