In a survey, one out of three people named blue as their favorite color. two out of seven named red. if 1092 people were included in the survey, how many named neither blue nor read as your favorite color?

a) 416 people
b) 432 people
c) 540 people
d) 512 people

A) 416 people

Step-by-step explanation:

A survey was carried out with a sample size of 1092 people. The number of people that named blue color as their favorite color is 1 out of every 3 people and the number of people that named  red as their favorite color is 2 out of every 7 people.

1 out of 3 can be represented as 1/3 and the value of people that named blue as their favorite color can be computed from the sample size as  follows  

1/3 of 1092 = 1/3 × 1092 = 364 people

2 out of 7 can be represented as 2/7 and the value of people that named red as their favorite color can be computed from the sample size as  follows  

2/7 of 1092 = 2/7 ×  1092 = 2184/7 = 312  people

The number of people that named  blue and red color as their favorite color are 364 + 312 = 676  people

The number of people that named neither blue nor red as their favorite color is

1092 - 676 = 416