Animals and Wheels

1. Anne went to visit her uncle Farmer John for a weekend. On Saturday morning, she went to

the barn and saw pigs and chickens. She counted 17 heads and 56 legs. How many pigs

does Farmer John have? How many chickens?

11 pigs.

6 chickens.

Step-by-step explanation:

Pigs have 4 legs while chickens have 2 legs. Also, pigs have just 1 head and the same for chickens.

Let pigs be X and let chickens be Y

For heads,

X + Y = 17

For legs,

4X + 2Y = 56

Solving both equations simultaneously,

4X + 2 (17 - X) = 56

2X = 56 - 34

2X = 22

X = 11

So, Y = 17 - 11

= 6

There are 11 pigs and 6 chickens.