Math Problem Statement

The fourth graders are going to the theater to watch the movie version of the book they all have read. Each row in the theater seats 9 people. How many rows will be needed to seat everyone?

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: 27+28+31+29+11=12627 + 28 + 31 + 29 + 11 = 126

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: Number of rows=1269\text{Number of rows} = \lceil \frac{126}{9} \rceil

Performing the division: 126÷9=14126 \div 9 = 14 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:

  1. How would the solution change if the number of seats per row increased to 10?
  2. How can you determine the number of rows for any given group size and seats per row?
  3. If 3 additional teachers joined, how would the number of rows change?
  4. How does rounding affect the final result in cases like this?
  5. 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