Asked by Jessica
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.
Answers
Answered by
Reiny
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.
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.
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