222k views
5 votes
A farmer looks over a field and sees 41 heads and 104 feet. some are pigs, some are geese. how many of each animal are there?

A) 22 pigs and 19 geese
B) 19 pigs and 22 geese
C) 20 pigs and 21 geese
D) 21 pigs and 20 geese

1 Answer

3 votes

Final answer:

There are 19 pigs and 22 geese in the field. Option B

Step-by-step explanation:

To solve this problem, we can set up a system of equations representing the number of pigs and geese.

Let's say that the number of pigs is 'x' and the number of geese is 'y'.

We have two pieces of information: there are 41 heads and 104 feet.

A pig has one head and four feet, while a goose has one head and two feet.

The total number of heads can be represented as x + y = 41.

The total number of feet can be represented as 4x + 2y = 104.

We can solve this system of equations to find the values of x and y.

By solving this system, we find that x = 19 and y = 22.

Therefore, there are 19 pigs and 22 geese. Option B

User Ole Markus With
by
7.7k points