A teacher has 34 students in her class. Can she distribute a package of 70 candies evenly to her students?

To determine whether the teacher can distribute **70 candies** evenly among **34 students**, we need to check if **70** is divisible by **34** without any remainder. 1. **Division Calculation:** \[ \frac{70}{34} \approx 2.0588 \] This means each student would receive approximately **2.0588** candies. 2. **Checking for Even Distribution:** Since you can't divide a candy into a fraction in this context, each student can receive **2** candies, but this would use: \[ 34 \times 2 = 68 \text{ candies} \] This leaves **2** candies remaining. 3. **Conclusion:** - **Even Distribution (Whole Candies):** **No**, it's not possible to distribute all **70** candies evenly so that each of the **34** students gets the same whole number of candies. - **Possible Alternative:** The teacher could give **2** candies to each student, resulting in **2** leftover candies. Alternatively, she could distribute some students **3** candies and others **2** to use all **70** candies, but this would not be perfectly even. **Final Answer:** No; 70 candies cannot be divided evenly into 34 equal whole-number portions.