Question

a group of 150 middle - school students were asked whether they prefer playing video games or watching tv in their spare time. their responses are reported in the following table.

	girls	boys
watching tv	61	29

(a) what percentage of the students are girls?
(b) what percentage of the students prefer playing video games?

Explanation:

Step1: Find total number of students who prefer playing video - games

Add the number of boys and girls who prefer playing video - games. So, \(26 + 34=60\).

Step2: Calculate percentage of students who prefer playing video - games

Use the formula \(\text{Percentage}=\frac{\text{Number of students who prefer playing video - games}}{\text{Total number of students}}\times100\). The total number of students is \(150\). So, \(\text{Percentage}=\frac{60}{150}\times 100 = 40\%\).

Step3: Find total number of girls

Add the number of girls who prefer playing video - games and watching TV. So, \(26+61 = 87\).

Step4: Calculate percentage of girls

Use the formula \(\text{Percentage}=\frac{\text{Number of girls}}{\text{Total number of students}}\times100\). So, \(\text{Percentage}=\frac{87}{150}\times100 = 58\%\).

Answer:

(a) 40%
(b) 58%