At a certain time, in a deer park, the number of heads and the number of legs of deer an human visitors were counted and it was found that there were 41 heads and 136 legs. Find the number of deer and human visitors in the park.

Answer

To solve the problem of finding the number of deer and human visitors in the park, we can set up a system of equations based on the information given.

### Step-by-Step Solution:

1. **Define Variables:**
Let \( x \) be the number of human visitors and \( y \) be the number of deer.

2. **Set Up the Equations:**
- From the problem, we know that the total number of heads (humans + deer) is 41. Since both humans and deer have one head each, we can write the first equation as:
\[ x + y = 41 \quad \text{(Equation 1)} \]
- We also know that the total number of legs is 136. Humans have 2 legs each, and deer have 4 legs each. Thus, we can write the second equation as:
\[ 2x + 4y = 136 \quad \text{(Equation 2)} \]

3. **Simplify Equation 2:**
To make calculations easier, we can divide the entire second equation by 2:
\[ x + 2y = 68 \quad \text{(Equation 3)} \]

4. **Solve the System of Equations:**
Now we have two equations:
- Equation 1: \( x + y = 41 \)
- Equation 3: \( x + 2y = 68 \)

We can subtract Equation 1 from Equation 3 to eliminate \( x \):
\[ (x + 2y) - (x + y) = 68 - 41 \]
This simplifies to:
\[ y = 27 \]

5. **Substitute Back to Find \( x \):**
Now that we have \( y \), we can substitute it back into Equation 1 to find \( x \):
\[ x + 27 = 41 \]
Solving for \( x \):
\[ x = 41 - 27 = 14 \]

6. **Conclusion:**
Therefore, the number of human visitors is \( x = 14 \) and the number of deer is \( y = 27 \).

### Final Answer:
- Number of human visitors: 14
- Number of deer: 27