A farmer keeps hens and rabbits on his farm. One day, he counted a total of 70 heads and 196 legs. How many more hens than rabbit does he have? Explain your working please. Your help is greatly appreciated.

Answer 1

number of hens --- x
number of rabbits --- y
x + y = 70 , using heads info

2x + 4y = 196 , using legs info
or
x + 2y = 98

subtract the two equations ....
y = 28
then x = 42

so ... 42 hens and 28 rabbits.