Question

Each student in a school was asked, "What is your favorite color?" The circle graph below shows how they answered

Answer 1

Answer:

a). BLUE color

b). 20%

Step-by-step explanation:

a). "Which color was chosen by approximately one fourth of the students?"

  Since one fourth of the students will be represented by one fourth area of the circle given.

That means color of choice represented by the quarter of the circle will be the color liked by one fourth students.

In the figure attached, BLUE color is the choice of one fourth students in the class.

b). Area represented by purple, green and other colors is a quarter of the circle.

If we divide this quarter into five equal sections, then the total of purple and green will be  $4\times \frac{1}{5}$ of the the quarter of the circle.

Measure of the angle defined by purple or green sections = $\frac{4}{5}\times 90$

                                                                                                     = 72°

Percentage of the students who preferred purple or green = $\frac{72}{360}\times 100$

                                                                                                     = 20%