There are some rabbits and peacocks in a zoo. The total number of their heads is 60 and the total number of their legs is 192. Find the number of total rabbits?

Sure, let's solve this problem step by step.

1. Let's denote the number of rabbits as R and the number of peacocks as P.

2. From the problem, we know that each animal has one head. So, the total number of heads equals the total number of animals. This gives us our first equation: R + P = 60.

3. We also know that each rabbit has 4 legs and each peacock has 2 legs. So, the total number of legs is 4R (4 legs per rabbit) + 2P (2 legs per peacock) = 192. This gives us our second equation.

4. Now we have a system of two equations, and we can solve it. Let's express P from the first equation: P = 60 - R.

5. Substitute P from step 4 into the second equation: 4R + 2(60 - R) = 192.

6. Simplify this equation: 4R + 120 - 2R = 192, which simplifies further to 2R = 72.

7. Solve for R: R = 72 / 2 = 36.

So, there are 36 rabbits in the zoo.