Let's solve the problem step by step based on the pie chart and the information provided.
Understanding the Pie Chart:
The pie chart shows the favorite seasons of Pablo’s classmates. The circle is divided into four sections:
-
Winter: One-quarter (1/4) of the circle
-
Summer: Half (1/2) of the circle
-
Spring: One-eighth (1/8) of the circle
-
Autumn: The remaining portion
We can calculate each section's percentage and fraction.
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Step 1: Determine the size of each season’s slice
Let’s analyze the fractions:
-
Winter = 1/4 → This is
25%
-
Summer = 1/2 → This is
50%
-
Spring = 1/8 → This is
12.5%
-
Autumn = Remaining part
To find Autumn:
Total = 1 (or 100%)
So,
Autumn = 1 - (1/4 + 1/2 + 1/8)
Convert to eighths:
- 1/4 = 2/8
- 1/2 = 4/8
- 1/8 = 1/8
Sum = 2/8 + 4/8 + 1/8 = 7/8
So, Autumn = 1 - 7/8 =
1/8
Thus, Autumn =
1/8 or
12.5%
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Now let’s answer each question:
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1. What percentage of Pablo’s classmates said Winter was their favorite season?
- Winter = 1/4 =
25%
✔ Answer: 25%
---
2. What percentage of Pablo’s classmates said Summer was their favorite season?
- Summer = 1/2 =
50%
✔ Answer: 50%
---
3. What fraction of Pablo’s classmates chose Winter as their favorite season?
- Winter =
1/4
✔ Answer: 1/4
---
4. What fraction of Pablo’s classmates chose Spring as their favorite season?
- Spring =
1/8
✔ Answer: 1/8
---
5. What percentage of Pablo’s classmates chose Summer or Winter as their favorite season?
- Summer = 50%
- Winter = 25%
- Total = 50% + 25% =
75%
✔ Answer: 75%
---
6. If Pablo surveyed 20 classmates, how many chose Summer?
- Summer = 50% of 20
- 50% of 20 = (50/100) × 20 = 0.5 × 20 =
10
✔ Answer: 10
---
7. If Pablo surveyed 32 classmates, how many chose Autumn?
- Autumn = 1/8 of total
- 1/8 × 32 =
4
✔ Answer: 4
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✔ Final Answers:
1.
25%
2.
50%
3.
1/4
4.
1/8
5.
75%
6.
10
7.
4
Let me know if you'd like this explained visually or in a printable format!
Parent Tip: Review the logic above to help your child master the concept of percentages worksheet year.
