On a farm there are chickens and cows. Together they have #200# legs and #75# heads. How many cows and chickens are there on the farm? Use a system of equations.

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Answer 1 · 2018-04-25T10:34:53

Number of Cows=25

Number of chicken =50

Let the number of cows be #y# and the number of chicken be #x#

both chicken and cows have 1 head while cows have 4 legs and chicken have 2

Number of Heads = Number of Cows + Number of Chicken

Number of legs = Number of Cows #xx# 4 + Number of Chicken #xx#2

#75=y+x# #rarr(1)#

#200=4y+2x##rarr(2)#

#color(green)(x=75-y)##rarr# From (1)

substitute in (2)

#200=4y+2(75-y)#

#200 = 4y+150-2y#

#50 =2y#

#y=25#

#x=50#