You work at a bakery, and sell cookies and cupcakes. You can only sell at most 60 baked goods combined. Cookies cost $2 each, and a cupcake $3 each. You want to earn at least $100. Write a system of linear inequalities to determine how many cookies and cupcakes can be sold.

Answer:x+y ≤602x+3y ≥ 100Step-by-step explanation:Let x represents the number of cookies and y represents the number of cupcakes.Given : You can only sell at most 60 baked goods combined. Cookies cost $2 each, and a cupcake $3 each. You want to earn at least $100.Cost of x cookies = 2xCost of y cupcakes = 3yi.e. Inequality For Quantity : x+y ≤60Inequality For cost : 2x+3y ≥ 100Now, a system of linear inequalities to determine how many cookies and cupcakes can be sold will be :x+y ≤602x+3y ≥ 100