In a zoo, there are rabbits and pigeons. If heads are counted, there are 340 heads and if legs are counted, there are 1060 legs. How many pigeons are there?

Solution:

Let the number of rabbits be R, and the number of pigeons be P.

Each rabbit has 1 head and 4 legs, while each pigeon has 1 head and 2 legs.

We have two equations:

1. R + P = 340 (Total heads)
2. 4R + 2P = 1060 (Total legs)

Solving these equations:

From the second equation: 2R + P = 530.

Subtract the first equation from the second: 2R + P - (R + P) = 530 - 340, which gives R = 190.

Substitute R = 190 into the first equation: 190 + P = 340, so P = 150.

Answer: There are 150 pigeons.