Question

Jane is asked to buy some chickens, dogs and ducks for her farm. The total number of animals she needs to buy is 50. She has a budget of $1500 to spend on $20/chicken, $50/dog, and $30/duck. Additionally, the number of chickens should be equal to that of ducks. Create a system of 3 equations to model the situation. Assume the number of chickens is x, dogs is y and ducks is z.

Answer 1

Answer:

$x + y + z = 50$

$20x +50 y +30 z = 1500$

$x = z$

Step-by-step explanation:

Given

$Chicken = c$

$Dog = y$

$Duck = z$

Since, she wants to buy 50 in total; This can be modeled by:

$x + y + z = 50$

Considering the budget, we have:

$20x +50 y +30 z = 1500$

Lastly, we have that

$x = z$

i.e. Chicken = ducks