Questions: The table shows the results of a survey of students and their parents. The students and their parents were asked, "If you had an hour to spend by yourself, would you prefer to read a book or would you prefer to watch TV?" Free Time Survey Read a Book Watch TV Students 18 32 Parents 25 9 Based on the results of the survey, which of these statements are true? Select all that apply. A. A total of 84 people were surveyed. B. A total of 43 people were surveyed. C. Of the parents surveyed, 9 prefer to watch TV. D. Of the students surveyed, 18 prefer to watch TV. E. A greater percentage of the people surveyed prefer to read a book than to watch TV.

The table shows the results of a survey of students and their parents. The students and their parents were asked, "If you had an hour to spend by yourself, would you prefer to read a book or would you prefer to watch TV?" Free Time Survey Read a Book Watch TV Students 18 32 Parents 25 9 Based on the results of the survey, which of these statements are true? Select all that apply. A. A total of 84 people were surveyed. B. A total of 43 people were surveyed. C. Of the parents surveyed, 9 prefer to watch TV. D. Of the students surveyed, 18 prefer to watch TV. E. A greater percentage of the people surveyed prefer to read a book than to watch TV.
Transcript text: 1. The table shows the results of a survey of students and their parents. The students and their parents were asked, "If you had an hour to spend by yourself, would you prefer to read a book or would you prefer to watch TV?" \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{ Free Time Survey } \\ \hline & Read a Book & Watch TV \\ \hline Students & 18 & 32 \\ \hline Parents & 25 & 9 \\ \hline \end{tabular} Based on the results of the survey, which of these statements are true? Select all that apply. A. A total of 84 people were surveyed. B. A total of 43 people were surveyed. C. Of the parents surveyed, 9 prefer to watch TV. D. Of the students surveyed, 18 prefer to watch TV. E. A greater percentage of the people surveyed prefer to read a book than to watch TV. Enter answers here:
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Solution

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Solution Steps

Step 1: Calculate the total number of people surveyed

Add the number of students and parents who prefer to read a book and watch TV:

  • Students: \( 18 + 32 = 50 \)
  • Parents: \( 25 + 9 = 34 \)
  • Total surveyed: \( 50 + 34 = 84 \)
Step 2: Verify statement A and B
  • Statement A: A total of 84 people were surveyed. This is true based on the calculation in Step 1.
  • Statement B: A total of 43 people were surveyed. This is false because the correct total is 84.
Step 3: Verify statement C
  • Statement C: Of the parents surveyed, 9 prefer to watch TV. This is true as shown in the table.
Step 4: Verify statement D
  • Statement D: Of the students surveyed, 18 prefer to watch TV. This is false because 18 students prefer to read a book, not watch TV.
Step 5: Verify statement E
  • Calculate the percentage of people who prefer to read a book:
    • Total who prefer to read a book: \( 18 + 25 = 43 \)
    • Percentage: \( \frac{43}{84} \approx 51.19\% \)
  • Calculate the percentage of people who prefer to watch TV:
    • Total who prefer to watch TV: \( 32 + 9 = 41 \)
    • Percentage: \( \frac{41}{84} \approx 48.81\% \)
  • Statement E: A greater percentage of the people surveyed prefer to read a book than to watch TV. This is true because \( 51.19\% > 48.81\% \).

Final Answer

The correct answers are A, C, and E.

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