Ms. Luz has 50 lemons from her tree. She gives half of them away to neighbors and \( 2 / 5 \) of the remaining lemons to people at work. If she uses 5 lemons for a lemon cake, how many lemons does she have left?

Ms. Luz starts with **50 lemons**. Let's break down each step to determine how many lemons she has left: 1. **Gives half away to neighbors:** \[ \frac{1}{2} \times 50 = 25 \text{ lemons} \] **Remaining lemons:** \( 50 - 25 = 25 \) lemons 2. **Gives \( \frac{2}{5} \) of the remaining lemons to people at work:** \[ \frac{2}{5} \times 25 = 10 \text{ lemons} \] **Remaining lemons:** \( 25 - 10 = 15 \) lemons 3. **Uses 5 lemons for a lemon cake:** \[ 15 - 5 = 10 \text{ lemons} \] **Final Result:** Ms. Luz has **10 lemons** left.