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?

Let's solve this problem step by step:

Step 1: Let's denote the number of rabbits as R and the number of pigeons as P.

Step 2: From the problem, we know that the total number of heads is 340. Since each animal has one head, we can write this as:

R + P = 340

Step 3: We also know that the total number of legs is 1060. Each rabbit has 4 legs and each pigeon has 2 legs, so we can write this as:

4R + 2P = 1060

Step 4: To simplify the equations, we can multiply the first equation by 2:

2R + 2P = 680

Step 5: Now, we subtract the new equation from the second equation:

4R + 2P - (2R + 2P) = 1060 - 680

This simplifies to:

2R = 380

Step 6: Divide by 2 to solve for R:

R = 190

Step 7: Substitute R = 190 into the first equation:

190 + P = 340

Step 8: Solve for P:

P = 340 - 190 = 150

So, there are 150 pigeons in the zoo.