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:

We are given that four out of seven people named blue as their favorite color. Therefore, the number of people who named blue as their favorite color out of 1092 people is:

$\frac{4}{7} \times 1092=624$

Also, we know that one out of three named red as their favorite color. Therefore, the number of people who named red as their favorite color out of 1092 people is:

$\frac{1}{3} \times 1092=364$

Therefore, the number of people who named neither blue nor red as their favorite color is:

$1092-624-364=104$