Translate and solve

[juntao]

Please translate the following problem into English and then solve it.

我有鸡与兔子。它们总共有5个头，16条腿。我有几只鸡与几只兔子？

[flows-network-integration[bot]]

Translation:

I have chickens and rabbits. They have a total of 5 heads and 16 legs. How many chickens and how many rabbits do I have?

Solution:

Let's use algebra to solve the problem.

Let x be the number of chickens and y be the number of rabbits.

From the problem, we know that:

• x + y = 5 (because there are 5 heads in total)
• 2x + 4y = 16 (because each chicken has 2 legs and each rabbit has 4 legs)

We can simplify the second equation by dividing both sides by 2:

• x + 2y = 8

Now we have two equations:

• x + y = 5
• x + 2y = 8

We can use the first equation to solve for x:

• x + y = 5
• x = 5 - y

We can substitute this expression for x into the second equation:

• x + 2y = 8
• (5 - y) + 2y = 8
• 5 + y = 8
• y = 3

So we have y = 3, which means there are 3 rabbits.

We can use the first equation to solve for x:

• x + y = 5
• x = 5 - y
• x = 5 - 3
• x = 2

So we have x = 2, which means there are 2 chickens.

Therefore, I have 2 chickens and 3 rabbits.