Question

in a survey four out of seven people named blue as their favorite color. One out of three named red.If 1,092 people were included in the survey how many named neither blue nor red as their favorite color.

Answer 1

Answer: There are 312 people who named neither blue nor red as their favorite color.

Step-by-step explanation:

Since we have given that

Total number of people who are surveyed = 7

Number of people who named blue as their favorite color = 4

According to question, one out of three named 'red'.

So, Out of seven people , number of people who named neither blue nor red as their favorite color is given by

$7-(4+1)=7-5=2$

There if there are 1092 people who were included in the survey , then we need to find the number of people who named neither blue nor red as their favorite color.

$\frac{2}{7}=\frac{x}{1092}\\\\x=\frac{2\times 1092}{7}\\\\x=312$

Hence, there are 312 people who named neither blue nor red as their favorite color.