Question

Jane is asked to buy some chickens, dogs, and ducks for her fa animals she needs to buy is 50. She has a budget of $1500 to $50/dog, and $30/duck. Additionally, the number of chickens ducks. How many of each animal should she buy?

Answer 1

To solve this problem, you can set up a system of equations using variables to represent the number of each animal. By solving the system, you can find how many of each animal Jane should buy.

Step-by-step explanation:

To solve this problem, let's assign variables to represent the number of each animal Jane should buy. Let's say the number of chickens is represented by x, the number of dogs is represented by y, and the number of ducks is represented by z.

We are given two pieces of information. First, the total number of animals Jane needs to buy is 50. Using our variables, we can write the equation x + y + z = 50. Second, Jane has a budget of $1500. Using the prices given, we can write the equation 30x + 50y + 30z = 1500.

Now we have a system of equations:

x + y + z = 50

30x + 50y + 30z = 1500

We can solve this system of equations by using a method such as substitution or elimination. Once we find the values of x, y, and z, we will know how many of each animal Jane should buy.