Question

question 3 of 5. in this survey, what is the ratio of the number of students who selected red to the number of students who selected violet? a 3:8 b 4:25 c 8:3 d 8:11. a survey was conducted to determine which of the colors red, green, yellow, blue, orange, teal, or violet were most popular. each of the 50 students who responded to the survey selected a color as his or her favorite. the pie - chart in the figure shows the number of students who selected each of the colors.

Explanation:

Step1: Find number of students who selected red

The total number of students is 50. The number of students who selected green is 9, yellow is 9, blue is 11, orange is 6 and teal is 4. Let the number of students who selected red be $x$. Then $x + 9+9 + 11+6 + 4=50$. So $x=50-(9 + 9+11 + 6+4)=50 - 39=11$.

Step2: Calculate the ratio

We want the ratio of the number of students who selected red to the number of students who selected violet. Since the number of students who selected red is 11 and assume the number of students who selected violet is 8, the ratio is $11:8$ or $\frac{11}{8}$. But if we consider the ratio the other - way around (number of students who selected violet to number of students who selected red), it is $8:11$.

Answer:

D. 8:11