Question

Juliette and Trish are selling cupcakes and cookies for a student government fundraiser. So far, Juliette has made more than $20 selling 25 cupcakes and 10 cookies. Trish has made over $30 selling 75 cupcakes. Write a system of linear inequalities that models this situation. Let x represent the price per cupcake, and let y represent the price per cookie.

Answer 1

75x > 30

25x+10y> 20

Explanation:

Let x = price per cupcake and y = price per cookie.

Trish has made over $30 selling 75 cupcakes.

i.e. 75x > 30

Juliette has made more than $20 selling 25 cupcakes and 10 cookies.

25x+10y> 20

The system of linear inequalities that models this situation:

75x > 30

25x+10y> 20