It is c, because dogs have 4 legs and chickens have 2 legs and there are 56 legs in all.
You can't have -8 dogs or 1/2 of either. You are just guessing right now.
You would need d + c =36 along with 4d+2c + 56 to find the exact number of dogs and chickens.
You would eliminate one variable and solve for the other. However, that isn't asked for here. It probably will be required later on.
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.
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.
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