A farmer has dogs and chickens running around in his backyard. There are a total of 36 animals, and the farmer counts a total of 56 legs. The farmer can use a system of equations to determine how many of each animal there are. He claims that one of the equations in the system is 4d+2c=56.

Question

Which statement describes the accuracy of the farmer's claim?

a.) It is incorrect because there are 36 animals total, so 4d+2c=36.

b.) It is incorrect because there are 56 legs total, so d+c=56.

c.) It is correct because there are 56 legs total, so 4d+2c=56.

d.) It is incorrect because there are 36 animals total, so d−c=36.

My response is that they are correct with -8 dogs, and 44 chickens, which is answer choice c.

Answer 1

I answered this when you posted it yesterday.

You are correct it is c.

However, you just guessed at an answer and you can't have -8 dogs.

You would have to use the formula
d + c =36 and equation c to get the exact answer.