Problem Analysis:
The problem involves solving a word problem using bar models. The scenario is as follows:
-
Total number of students: 277
-
Number of boys: 148
-
Number of girls: Total students - Number of boys = \( 277 - 148 = 129 \)
We are tasked with finding the difference between the number of boys and girls.
---
Step-by-Step Solution:
#### 1.
Identify the given information:
- Total students = 277
- Number of boys = 148
- Number of girls = Total students - Number of boys = \( 277 - 148 = 129 \)
#### 2.
Understand the question:
We need to find the
difference between the number of boys and the number of girls.
#### 3.
Calculate the difference:
The difference between the number of boys and girls is given by:
\[
\text{Difference} = \text{Number of boys} - \text{Number of girls}
\]
Substituting the values:
\[
\text{Difference} = 148 - 129 = 19
\]
#### 4.
Verify the result:
- Number of boys = 148
- Number of girls = 129
- Difference = 148 - 129 = 19
This confirms our calculation is correct.
---
Bar Model Representation:
To visually represent this problem using a bar model:
1. Draw a long bar representing the total number of students (277).
2. Divide the bar into two parts:
- One part for boys (148)
- One part for girls (129)
3. To find the difference, compare the lengths of the two segments:
- The segment for boys is longer than the segment for girls.
- The difference in length represents the difference in numbers: \( 148 - 129 = 19 \).
---
Final Answer:
\[
\boxed{19}
\]
Parent Tip: Review the logic above to help your child master the concept of bar model worksheet.
