Question

5. (a) The bar graph below shows the favourite colour by a class of students. Favourite Colour 5 Number of Students 1 GA Yal Calour (1) Given that twice as many students like blue than red, how many students like blue? [1] Using the information found in part (a) (1), complete the bar graph above. [1] (iii) Calculate the number of students in the class. (iv) What percentage of students like pink? [1]

Answer 1

ANSWER

8 students like the blue color

we have a total number of 30 students in the class

The percentage of students who like pink is 16.67%

Explanation:

Given information

From the graph provided, we can deduce the below information

4 students like red

7 students like green

6 students like yellow

5 students like pink

Step 1: Find the number of students who like the blue color?

Let the number of students that like blue be b

Since twice as many students like blue than red, then we can determine the number of students who like blue color using the below expression.

b = 2r

Red = r = 4 students

b = 2 x 4

b = 8 students

Hence, 8 students like the blue color

Part C: Find the total number of students in class

The total number of students can be calculated by summing all the students that love the different colors

Total students in the class = 4 + 7 + 6 + 5 + 8

Total students in the class = 30 students

Hence, we have a total number of 30 students in the class

Part D: What percentage of students like pink

We can calculate the number of students that like pink using the below formula

`\text{ \% of students that like pink = }\frac{\text{ number of students that like pink color}}{\text{total numebr of the students}}*\text{ 100\%}`

Recall, the number of students who like pink is 5, and the total number of students is 30

`\begin{gathered} \text{ \% of students who like pink = }(5)/(30)*100\text{ \%} \\ \text{ \% of students who like pink = 0.166667 }*100\text{ \%} \\ \text{ \% of students who like pink = 16.67 \%} \end{gathered}`

Hence, the percentage of students who like pink is 16.67%