Final answer:
To find the total number of students who walked to the tuck shop, we add the position of the row from the front (third) and from the back (seventh), subtract one to avoid double counting, and then multiply by the number of students per row. There are a total of 36 students.
Step-by-step explanation:
To calculate the number of students that walked to the tuck shop, one can utilize the information given about the positioning of rows. When the class walks in rows of four and a certain row is the third from the front and the seventh from the back, the number of rows can be determined by adding these two positions together and subtracting one (to avoid double counting the row in question).
Step-by-Step Explanation:
- Determine the position of the student's row from the front (third).
- Determine the position from the back (seventh).
- Add these two positions together: 3 (from the front) + 7 (from the back) = 10.
- Subtract 1 to avoid double counting the row in question: 10 - 1 = 9.
- Multiply the total number of rows by the number of students per row (which is four): 9 rows × 4 students/row = 36 students.
Therefore, there are a total of 36 students who went to the tuck shop.