Math Problem Statement

Draw a model to represent each situation. The ratio of computers t students is 1:2. The total number of students is 12.

Solution

To represent the situation where the ratio of computers to students is 1:2 and the total number of students is 12, you can create a visual model using a bar diagram or a group of symbols. Here's a step-by-step guide:

  1. Ratio of Computers to Students: 1 computer for every 2 students.
  2. Total Students: 12 students.

Since the ratio is 1:2 (one computer for every two students), you can break the group of 12 students into 6 groups of 2 students. For each of these groups, there is one computer.

Model Description:

  • You can represent each group of students with a pair of figures (e.g., two dots or stick figures for the students).
  • Each pair of students should be matched with a single computer (e.g., a rectangle representing the computer).

The visual model might look something like this:

Computer | Student | Student
Computer | Student | Student
Computer | Student | Student
Computer | Student | Student
Computer | Student | Student
Computer | Student | Student

In this model:

  • There are 6 computers (represented by rectangles or icons).
  • There are 12 students (grouped in pairs next to each computer).

Would you like an image to represent this, or does the textual description work for you?


Here are 5 questions for deeper understanding:

  1. If there were 24 students, how many computers would be needed based on the same ratio?
  2. If the ratio changed to 1:3, how many computers would be needed for 12 students?
  3. What is the total number of computers and students combined in this situation?
  4. How would the ratio be different if there were 10 computers for 20 students?
  5. How would you express the ratio if there were 3 computers for every 6 students?

Tip: Ratios can be scaled up or down as long as both sides increase or decrease proportionally.

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Basic Arithmetic

Formulas

Ratio of Computers to Students = 1:2
Total number of students / 2 = Number of Computers

Theorems

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Suitable Grade Level

Grades 3-5