Absolutely! Here's a step-by-step solution for the given problem:
1. Understanding the Problem:
You start with an initial number of students in a class, and more students enroll each month over a certain period. The aim is to determine both the total number of students who enrolled over the months and the final number of students in the class at the end of this period.
2. Initial Number of Students:
- The initial number of students in the class is 30.
3. Students Enrolled Each Month:
- Each month, 5 new students enroll.
4. Number of Months:
- This occurs over a period of 6 months.
5. Calculate the Total Number of Students Enrolled Over the Months:
- Multiply the number of students enrolling each month by the number of months:
[tex]\[
\text{Total students enrolled} = 5 \text{ students/month} \times 6 \text{ months} = 30 \text{ students}
\][/tex]
6. Calculate the Final Number of Students in the Class:
- Add the total number of students enrolled over the months to the initial number of students:
[tex]\[
\text{Final number of students} = 30 \text{ initial students} + 30 \text{ newly enrolled students} = 60 \text{ students}
\][/tex]
7. Conclusion:
- The total number of students who enrolled over the 6 months is 30.
- The final number of students in the class after 6 months is 60.
To summarize, the total number of students enrolled over the months is 30, and the final number of students in the class is 60.
