Percent Worksheets - Free Printable

To solve the problem, we need to analyze the pie chart provided in the image. The pie chart is divided into four sections representing the seasons: Winter, Summer, Spring, and Autumn. Each section's size corresponds to the percentage of students who chose that season as their favorite.

Step-by-Step Solution:

#### 1. What percentage of Pablo's classmates said Winter was their favorite season?
- The Winter section occupies one-fourth of the pie chart.
- Since a full circle represents 100%, one-fourth of the circle is:
\[
\frac{1}{4} \times 100\% = 25\%
\]
- Answer: 25%

#### 2. What percentage of Pablo's classmates said Summer was their favorite season?
- The Summer section also occupies one-fourth of the pie chart.
- Similarly, one-fourth of the circle is:
\[
\frac{1}{4} \times 100\% = 25\%
\]
- Answer: 25%

#### 3. What fraction of Pablo's classmates chose Winter as their favorite season?
- From the pie chart, Winter occupies one-fourth of the circle.
- Therefore, the fraction is:
\[
\frac{1}{4}
\]
- Answer: \(\frac{1}{4}\)

#### 4. What fraction of Pablo's classmates chose Spring as their favorite season?
- The Spring section occupies one-fourth of the pie chart.
- Therefore, the fraction is:
\[
\frac{1}{4}
\]
- Answer: \(\frac{1}{4}\)

#### 5. What percentage of Pablo's classmates chose Summer or Winter as their favorite season?
- Summer and Winter each occupy one-fourth of the pie chart.
- Together, they occupy:
\[
\frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}
\]
- Converting this fraction to a percentage:
\[
\frac{1}{2} \times 100\% = 50\%
\]
- Answer: 50%

#### 6. If Pablo surveyed 30 classmates, how many chose Spring?
- From the pie chart, Spring occupies one-fourth of the circle.
- If there are 30 classmates, the number who chose Spring is:
\[
\frac{1}{4} \times 30 = 7.5
\]
- Since the number of students must be a whole number, we round to the nearest whole number. However, typically in such problems, we assume exact fractions apply, so:
\[
\boxed{7.5}
\]
- Answer: 7.5 (or 8 if rounding up)

#### 7. If Pablo surveyed 32 classmates, how many chose Autumn?
- From the pie chart, Autumn occupies one-fourth of the circle.
- If there are 32 classmates, the number who chose Autumn is:
\[
\frac{1}{4} \times 32 = 8
\]
- Answer: 8

Final Answers:

1. \( \boxed{25\%} \)
2. \( \boxed{25\%} \)
3. \( \boxed{\frac{1}{4}} \)
4. \( \boxed{\frac{1}{4}} \)
5. \( \boxed{50\%} \)
6. \( \boxed{7.5} \)
7. \( \boxed{8} \)