Question

And on that farm he had some pigs, and some turkeys too. One day, while out feeding them all, he noticed that if he added everything together, his pigs and his turkeys had a total of 24 legs and 12 wings between them. How many pigs are there? How many turkeys are there?

Answer 1

By setting up a system of linear equations, we determined that there are 3 pigs and 6 turkeys on the farm based on the given information about legs and wings.

Step-by-step explanation:

The question presents a problem that requires solving a system of linear equations. Considering that a pig has 4 legs and no wings, and a turkey has 2 legs and 2 wings, we can set up the following equations:

• 4p + 2t = 24 (total number of legs)
• 2t = 12 (total number of wings)

Solving the second equation, we find that t = 6. Substituting the value of t in the first equation: 4p + 2(6) = 24, we get 4p + 12 = 24.

Now solving for p, 4p = 12, we determine that p = 3. Therefore, there are 3 pigs and 6 turkeys.