Subjects algebra

Cookie Profit

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1. **Understand the problem:** We want to find the minimum number of cookies to sell to earn a profit of at least 2000. 2. **Devise a plan:** Let $x$ be the number of cookies sold. Each cookie sells for 25, so total revenue is $25x$. Costs are 1000 total. Profit = Revenue - Cost = $25x - 1000$. We want profit $\geq 2000$. 3. **Carry out the plan:** Set up inequality: $$25x - 1000 \geq 2000$$ Add 1000 to both sides: $$25x \geq 3000$$ Divide both sides by 25: $$x \geq \frac{3000}{25} = 120$$ 4. **Look back:** They must sell at least 120 cookies to earn a profit of 2000 or more. **Final answer:** They need to sell at least **120 cookies**.