Butterfly Spotting worksheet with a pie chart and math questions.

Problem Analysis:

The task involves analyzing a pie chart that represents the distribution of butterflies counted by color. The total number of butterflies counted is 200. The pie chart shows the percentage distribution for each color, and we need to calculate the actual counts for each color and answer specific questions based on these calculations.

Step-by-Step Solution:

#### 1. Calculate the number of butterflies for each color:
The total number of butterflies is 200. We use the percentages given in the pie chart to find the count for each color.

- White: 30% of 200
\[
\text{White} = 0.30 \times 200 = 60
\]

- Orange: 25% of 200
\[
\text{Orange} = 0.25 \times 200 = 50
\]

- Yellow: 20% of 200
\[
\text{Yellow} = 0.20 \times 200 = 40
\]

- Purple: 10% of 200
\[
\text{Purple} = 0.10 \times 200 = 20
\]

- Blue: 10% of 200
\[
\text{Blue} = 0.10 \times 200 = 20
\]

- Brown: 5% of 200
\[
\text{Brown} = 0.05 \times 200 = 10
\]

So, the counts are:
- White: 60
- Orange: 50
- Yellow: 40
- Purple: 20
- Blue: 20
- Brown: 10

#### 2. How many more purple butterflies were counted than brown butterflies?
- Purple butterflies: 20
- Brown butterflies: 10
\[
\text{Difference} = 20 - 10 = 10
\]

#### 3. How many more orange butterflies were counted than blue butterflies?
- Orange butterflies: 50
- Blue butterflies: 20
\[
\text{Difference} = 50 - 20 = 30
\]

#### 4. How many white and yellow butterflies were counted?
- White butterflies: 60
- Yellow butterflies: 40
\[
\text{Total} = 60 + 40 = 100
\]

#### 5. Orange butterflies were counted most. True / False
From the calculations:
- White: 60
- Orange: 50
- Yellow: 40
- Purple: 20
- Blue: 20
- Brown: 10

The highest count is for White (60), not Orange (50). Therefore, the statement is False.

Final Answers:

1.
- White: 60
- Orange: 50
- Yellow: 40
- Purple: 20
- Blue: 20
- Brown: 10

2. \( \boxed{10} \)

3. \( \boxed{30} \)

4. \( \boxed{100} \)

5. \( \boxed{\text{False}} \)