Question

A farmer has only dogs and chickens. The animals total 60. There are 148 legs in all How

many dogs are there? How many chickens are there?

Answer 1

• 46 chickens
• 14 dogs

Explanation:

You want to know the number of dogs and chickens a farmer has if there are 60 total, having a total of 148 legs.

Setup

Let d represent the number of dogs. Then 60-d is the number of chickens, and the total number of legs is ...

4d + 2(60 -d) = 148

Solution

Simplifying gives ...

2d +120 = 148

d +60 = 74 . . . . divide by 2

d = 14 . . . . . . . subtract 60

60 -d = 46 . . . . the number of chickens

The farmer has 14 dogs and 46 chickens.

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