Math Problem Statement
Solution
To solve the problem, we need to determine the total number of rows required to seat everyone, given that each row seats 9 people.
Step 1: Calculate the total number of people
From the table:
- Mr. Blaine’s Class: 27 people
- Mrs. Hatch’s Class: 28 people
- Miss Rupert’s Class: 31 people
- Mr. Lang’s Class: 29 people
- Teachers and Chaperones: 11 people
The total number of people is:
Step 2: Calculate the number of rows needed
Each row seats 9 people. To find the total number of rows, divide the total number of people by the number of seats per row:
Performing the division: Since the result is an exact integer, 14 rows are sufficient.
Final Answer:
The correct number of rows needed is 14.
Let me know if you need further clarification or have any questions! Here are 5 related questions for you to think about:
- How would the solution change if the number of seats per row increased to 10?
- How can you determine the number of rows for any given group size and seats per row?
- If 3 additional teachers joined, how would the number of rows change?
- How does rounding affect the final result in cases like this?
- What is the general formula for calculating the rows needed for any given group size?
Tip: Always use rounding up (ceiling) when calculating group divisions where partial groups still need full accommodations.
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Math Problem Analysis
Mathematical Concepts
Division
Rounding Up (Ceiling Function)
Formulas
Total Rows = Ceiling(Total People / Seats Per Row)
Theorems
Ceiling Function
Suitable Grade Level
Grade 5-6
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