Math Problem Statement

Complete the two-way table given some partial information for Year 9 and Year 11 students.

Solution

To complete the two-way table, we will fill in the missing values based on the provided data and totals. Here's what we have so far:

Year 9Year 11Total
Pet166?
No Pet25??
Total41?70
  1. Fill the Total for "Pet" row:
    The total number of students who have pets is calculated by adding the number of Year 9 students with pets to the number of Year 11 students with pets.
    16+6=2216 + 6 = 22
    So, the total for the "Pet" row is 22.

  2. Find the number of Year 11 students:
    The total number of Year 11 students can be calculated by subtracting the number of Year 9 students from the total number of students.
    7041=2970 - 41 = 29
    So, the total number of Year 11 students is 29.

  3. Find the number of Year 11 students without pets:
    Subtract the number of Year 11 students with pets from the total number of Year 11 students.
    296=2329 - 6 = 23
    So, there are 23 Year 11 students without pets.

  4. Find the total number of students without pets:
    Add the number of Year 9 students without pets and the number of Year 11 students without pets.
    25+23=4825 + 23 = 48
    So, the total number of students without pets is 48.

Now the completed table looks like this:

Year 9Year 11Total
Pet16622
No Pet252348
Total412970

Would you like further explanation, or do you have any additional questions?

Here are 5 relative questions for further practice:

  1. How would you calculate the percentage of Year 9 students who have pets?
  2. What fraction of all students have pets?
  3. How many more Year 11 students do not have pets compared to those who do?
  4. If 5 more Year 9 students got pets, how would that change the table?
  5. What is the ratio of students without pets to those with pets?

Tip: When working with tables, double-check that both the row and column totals match the grand total for consistency.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Data Organization
Problem Solving

Formulas

Addition and Subtraction

Theorems

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Suitable Grade Level

Middle School