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A farmer has 100 animals on his farm.The animals consist of cows & chickens.Given that there are 286 legs altogether among the animals,how many cows are there?Please help quick. also explain your answer. please help this assignment is due soon

1 Answer

5 votes

Let

x -----> the number of cows

y -----> the number of chickens

we know that

x+y=100 --------> equation A

4x+2y=286 ------> equation B

Remember that, a cow has 4 legs and a chicken has two legs

solve the system of equations

Using a graphing tool

solve the system of equation by graphing

The solution is the intersection point both graphs

see the attached figure

the solution is the point (43,57)

therefore

A farmer has 100 animals on his farm.The animals consist of cows & chickens.Given-example-1
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