Problem Analysis:
The problem involves interpreting a pictograph to determine the total number of students in Mrs. Simpson's class. Here's a breakdown of the information provided:
1.
Pictograph Details:
- Each symbol (e.g., ⚽, ⚾, etc.) represents 2 students.
- The votes for each sport are as follows:
-
Soccer: 2 symbols
-
Football: 3 symbols
-
Baseball: 5 symbols
-
Hockey: 4 symbols
2.
Key Information:
- Each symbol represents 2 students.
- Five students were absent on the day of the survey.
3.
Objective:
- Calculate the total number of students in the class.
---
Step-by-Step Solution:
#### Step 1: Calculate the number of students who voted.
-
Soccer: 2 symbols × 2 students/symbol = 4 students
-
Football: 3 symbols × 2 students/symbol = 6 students
-
Baseball: 5 symbols × 2 students/symbol = 10 students
-
Hockey: 4 symbols × 2 students/symbol = 8 students
Now, sum the number of students who voted:
\[
4 + 6 + 10 + 8 = 28 \text{ students}
\]
#### Step 2: Account for the absent students.
The problem states that 5 students were absent. Therefore, the total number of students in the class is the sum of the students who voted and the students who were absent:
\[
28 + 5 = 33 \text{ students}
\]
---
Final Answer:
\[
\boxed{33}
\]
---
Explanation:
The solution involves two main steps:
1. Using the pictograph to determine how many students participated in the voting by multiplying the number of symbols by the value each symbol represents.
2. Adding the number of absent students to the total number of students who voted to find the total class size.
This method ensures that all students, both present and absent, are accounted for in the final count.
Parent Tip: Review the logic above to help your child master the concept of free printable math worksheet for 3rd grade word problems.
