https://file.aiquickdraw.com/mathbot/file/17259532613513qpf7dks.jpg

The image contains a word problem written in Czech. Here's the translated problem:

"There are chickens and rabbits on the farm. Together they have 35 heads and 94 legs.  
How many chickens and how many rabbits are on the farm?"

Let's define:
- \( x \) as the number of chickens
- \( y \) as the number of rabbits

From the problem, we know two things:
1. Chickens and rabbits together have 35 heads (since each animal has 1 head):  
   \[
   x + y = 35
   \]
2. Chickens have 2 legs and rabbits have 4 legs. The total number of legs is 94:  
   \[
   2x + 4y = 94
   \]

We can now solve this system of equations.

### Step 1: Solve the first equation for \( y \):
\[
y = 35 - x
\]

### Step 2: Substitute \( y = 35 - x \) into the second equation:
\[
2x + 4(35 - x) = 94
\]

Now I'll solve this equation.The solution to the equation is \( x = 23 \), meaning there are 23 chickens on the farm.

### Step 3: Calculate the number of rabbits \( y \):
Using the equation \( y = 35 - x \):
\[
y = 35 - 23 = 12
\]

Thus, there are 12 rabbits on the farm.

### Final Answer:
- There are 23 chickens.
- There are 12 rabbits.

Would you like further details or have any other questions?

Here are five related questions:
1. How would the solution change if the number of heads was different?
2. Can we solve this type of problem graphically?
3. How would the system of equations change if there were other animals?
4. What if the problem involved birds and cats, with 2 legs and 4 legs respectively?
5. Can this method be used to solve problems with more than two unknowns?

**Tip**: When solving systems of equations, always aim to express one variable in terms of another to reduce the complexity of the problem.

There are chickens and rabbits on the farm. Together they have 35 heads and 94 legs. How many chickens and how many rabbits are on the farm?

Learn how to solve a farm animal problem where chickens and rabbits together have 35 heads and 94 legs. This example demonstrates the use of algebra and systems of linear equations, suitable for students in Grades 6-8.

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