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

Question

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

UpStudy AI · Accepted Answer

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.
The teacher cannot distribute 70 candies evenly among 34 students because 70 divided by 34 is not a whole number. Each student would get 2 candies, leaving 2 candies remaining.

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

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