1. **State the problem:** Jack starts with 450 in his savings account and withdraws 25 each week. He wants to have at least 100 left at the end of the summer. We need to find how many weeks, $w$, he can withdraw money. 2. **Set up the inequality:** The amount left after $w$ weeks is $450 - 25w$. He wants this to be at least 100, so: $$450 - 25w \geq 100$$ 3. **Solve the inequality:** Subtract 450 from both sides: $$450 - 25w - 450 \geq 100 - 450$$ $$-25w \geq -350$$ Divide both sides by -25, remembering to reverse the inequality sign because we divide by a negative number: $$w \leq \frac{-350}{-25}$$ $$w \leq 14$$ 4. **Interpret the result:** Jack can withdraw money for at most 14 weeks to have at least 100 left in his account. **Final answer:** Jack can withdraw money for up to 14 weeks.