Math Problem Statement
Adjust the pie chart to represent the source of customer contacts based on the given information about customer communication methods.
Solution
From the information shown in the image:
Key Information:
- 500 customers contacted the company today.
- Contact breakdown:
- Phone: 250 customers.
- Email: 50% of the Phone contacts = .
- Social Media: Denoted as a base value.
- Webchat: 4 times the Social Media contacts.
Let us calculate the number of Social Media and Webchat contacts.
Step 1: Total Contacts Equation
The total contacts equation is:
Substitute known values:
Step 2: Simplify
Step 3: Solve for (Social Media contacts)
Step 4: Calculate Webchat contacts
Final Breakdown:
- Phone: 250 contacts.
- Email: 125 contacts.
- Social Media: 25 contacts.
- Webchat: 100 contacts.
Pie Chart Percentages:
- Phone: .
- Email: .
- Social Media: .
- Webchat: .
Adjust the Pie Chart:
The pie chart should reflect the following percentages:
- Phone: 50%.
- Email: 25%.
- Social Media: 5%.
- Webchat: 20%.
Let me know if you want additional details or explanations!
5 Related Questions:
- What is the formula for calculating percentages in a pie chart?
- How can we double-check calculations for proportional values in such problems?
- What tools can be used to create accurate pie charts?
- How does the allocation of percentages relate to total values?
- Could this type of data representation be misleading? Why or why not?
Tip:
Always ensure the total percentage in a pie chart equals 100% by verifying calculations for each segment.
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Math Problem Analysis
Mathematical Concepts
Percentages
Proportional Reasoning
Equation Solving
Formulas
Percentage = (Part / Total) × 100
Total Contacts = Phone + Email + Social Media + Webchat
Theorems
-
Suitable Grade Level
Grades 5-8