SOLUTION: 500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below: Here is a link to the image:https://latex.artofproblemsolving.com

Question 972117: 500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:
Here is a link to the image:https://latex.artofproblemsolving.com/0/8/c/08c78eaec4836bf5f5cbb37b710d5e0c7af9c4a1.png
Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an 18 degree angle, since 18 degree is 5% of 360 degree.
Which sector makes an angle closest to 40 degree? (Your answer should be a color word.)
Part Two: For this problem, use the data from part (a).
If we consider only the people who named a rainbow color (red, orange, yellow, green, blue, or purple), what percentage of those people preferred red?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
Part 1:
40 degrees is (40/360)=0.111=11.1%
The color closest to 11.1% is Purple at 12%.
.
The total who prefer a rainbow color is:
13+4+5+15+16+12=65
Of this 65, 13 prefer red, so 13/65=0.20,
of the people who preferred a rainbow color,
20% preferred red.
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