Question 449964: In a group of cows and chickens, the number of legs was 84 more then twice the number of heads. How many cows were there?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a group of cows and chickens, the number of legs was 84 more then twice the number of heads. How many cows were there?
-----------------
Let "L" = total # of legs.
Let "H" = total # of heads.
--------------------------------
L = 2H + 84
---
# of legs = 4w + 2c where w = # of cows and c = # of chickens
# of heads = w + c
--------------------
Equations:
Since L = 2H + 84,
4w + 2c = 2(w+c) + 84
4w+2c = 2w+2c+84
--
2w = 84
w = 42 (# of cows)
======================================
Cheers,
Stan H.
|
|
|
