800 people surveyed, 700 like rock, 300 like country how many like both?

200 people like both rock and country.

Step-by-step explanation:

We are given that 800 people were surveyed and out of them, 700 like rock while 300 like country.

We are to find the number of people who liked both rock and country.

Total number of poeple = 800

People who like rock = 700

People who like country = 300

People who like both = (700 + 300) - 800 = 200

200

Step-by-step explanation:

Total number of people surveyed = 800

Number of people who like rock = 700

Number of people who like country = 300

Let the number of people who like both genres = x

Among the 700 people who like rock there are some people who like country as well likewise among the 300 people who like country there are some people who like rock as well. So those who like both genres are being counted twice, once in 700 and once in 300. So if we subtract the number of people who like genres from 700 or 300 we will get the total number of people as shown below:

i. e.

800 = 700 + 300 - x

x = 700 + 300 - 800

x = 200

This means, 200 people like both genres.

From we can also say 500 people like only rock, 100 people like only country and 200 people like both.