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:
- Ratio of Computers to Students: 1 computer for every 2 students.
- 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:
- If there were 24 students, how many computers would be needed based on the same ratio?
- If the ratio changed to 1:3, how many computers would be needed for 12 students?
- What is the total number of computers and students combined in this situation?
- How would the ratio be different if there were 10 computers for 20 students?
- 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
-
Suitable Grade Level
Grades 3-5
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