97 pens are distributed among 12 students, at least how many pens does the student

To determine the minimum number of pens each student would get when 97 pens are distributed among 12 students, we can use the floor division operation to find the minimum number of pens per student.

1. **Divide the total number of pens by the number of students:**

   \[
   \frac{97}{12} \approx 8.0833
   \]

   This means each student can receive at least 8 pens, with some pens left over.

2. **Calculate the remainder to see how many pens are left after each student gets 8 pens:**

   \[
   97 \mod 12 = 1
   \]

   So, 1 pen remains after distributing 8 pens to each of the 12 students.

Thus, if each student gets at least 8 pens, then one student will receive an additional pen because of the remainder. Therefore, **each student gets at least 8 pens**, and one student will get 9 pens.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

1. How many pens would each student get if there were 100 pens distributed among 12 students?
2. What is the maximum number of pens a student could receive in this scenario?
3. If the number of students increased to 15, how would the distribution change?
4. What if there were 97 pens and 12 students, but each student must receive an equal number of pens without any remainder? How would you handle this?
5. How would you approach the problem if there were a different number of pens, say 120, with the same number of students?

**Tip:** When dividing items among groups, always check for the remainder to understand the exact distribution.

Learn how to determine the minimum number of pens each student receives when 97 pens are distributed among 12 students. Understand the division and modulo operations involved in distributing items among groups. Suitable for students in Grades 4-6.

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