1. Problem 14: Yuki's cookies Yuki baked some cookies on Monday. Half were eaten on Tuesday, 3 eaten on Wednesday, 2 taken on Thursday, and 7 left on Friday. Find how many she baked. 2. Formula and rules: Let $x$ be the number of cookies baked on Monday. Half eaten on Tuesday means $\frac{x}{2}$ left. On Wednesday, 3 eaten: remaining $\frac{x}{2} - 3$. On Thursday, 2 taken: remaining $\frac{x}{2} - 3 - 2 = \frac{x}{2} - 5$. On Friday, 7 left, so: $$\frac{x}{2} - 5 = 7$$ 3. Solve the equation: Add 5 to both sides: $$\frac{x}{2} - 5 + 5 = 7 + 5$$ $$\frac{x}{2} = 12$$ Multiply both sides by 2: $$\cancel{2} \times \frac{x}{\cancel{2}} = 12 \times 2$$ $$x = 24$$ 4. Answer: Yuki baked 24 cookies on Monday. 5. Problem 15: Student's money Initial money: 45 Receives 25 and 15 more, then buys shoes for 40. Write number sentence: $$45 + 25 + 15 - 40 = ?$$ 6. Simplify addition first: $$45 + 25 = 70$$ $$70 + 15 = 85$$ 7. Subtract cost of shoes: $$85 - 40 = 45$$ 8. Answer: The student has 45 left.