Question

Mary is selling cupcakes for a fundraiser. In order to pay expenses, she must sell enough to satisfy the inequality 3c – 60 ≥ 150, where c represents the total number of cupcakes sold.

Answer 1

Explanation:

To solve the inequality 3c - 60 ≥ 150, you can follow these steps:

Add 60 to both sides of the inequality:

3c - 60 + 60 ≥ 150 + 60

This simplifies to:

3c ≥ 210

Divide both sides of the inequality by 3:

(3c)/3 ≥ 210/3

This simplifies to:

c ≥ 70

Therefore, Mary must sell at least 70 cupcakes to satisfy the inequality and cover her expenses.

Answer 2

Step 1: To solve this inequality, we first need to combine all the terms on the same side of the equation.

Step 2: To do this, we can subtract 60 from both sides of the equation:

3c – 60 ≥ 150

3c – 60 - 60 ≥ 150 - 60

3c ≥ 210

Step 3: Now we can divide both sides of the equation by 3:

3c ≥ 210

c ≥ 70

Answer: Mary needs to sell at least 70 cupcakes in order to satisfy the inequality.