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.

x+y ≤60

2x+3y ≥ 100

Step-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 = 2x

Cost of y cupcakes = 3y

i. e. Inequality For Quantity : x+y ≤60

Inequality For cost : 2x+3y ≥ 100

Now, a system of linear inequalities to determine how many cookies and cupcakes can be sold will be:

x+y ≤60

2x+3y ≥ 100