Question

a movie club surveyed 300 high school students. the students were asked how often they go to the movies and whether they prefer action movies or dramas. their responses are summarized in the following table.

	twice a month or less	three times a month or more
drama	120	48

(a) what percentage of the students go to the movies twice a month or less?
(b) what percentage of the students prefer action movies?
(a) %
(b) %

Explanation:

Part (a)

Step1: Find total students who go twice a month or less

To find the number of students who go to the movies twice a month or less, we add the number of students who prefer action movies and drama movies in that category. So, \(102 + 120 = 222\).

Step2: Calculate the percentage

The total number of students surveyed is 300. The percentage is calculated as \(\frac{\text{Number of students who go twice a month or less}}{\text{Total number of students}} \times 100\%\). So, \(\frac{222}{300} \times 100\% = 74\%\).

Part (b)

Step1: Find total students who prefer action movies

To find the number of students who prefer action movies, we add the number of students who go twice a month or less and three times a month or more in the action category. So, \(102 + 30 = 132\).

Step2: Calculate the percentage

The total number of students surveyed is 300. The percentage is calculated as \(\frac{\text{Number of students who prefer action movies}}{\text{Total number of students}} \times 100\%\). So, \(\frac{132}{300} \times 100\% = 44\%\).

Answer:

(a) \(74\%\)
(b) \(44\%\)