Question

There are 12 people in Mrs. Hilt's living room. 6 people are wearing socks and 4 people wearing shoes. 3 people are wearing both. How many people are bare feet?

Answer 1

3 people wearing both are also counted in the 6 with socks and 4 with shoes so you can't count them twice. What you do in stead is list :
3 wearing both
4 - 3 = 1 wearing just shoes
6 - 3 = 3 wearing just socks
total 7 so far so that leaves 5 others that must be barefoot.

Answer 2

Answer: 5 of them are bare feet.

Explanation:

The data that we have is:

We have 12 people.

6 of those are wearing socks.

4 are wearing shoes.

3 are wearing both.

Then. the total number of people with something in their feet is:

the 6 wearing socks + 4 wearing shoes - 3 that use both (because those 3 are included in the 6 wearing socks and in the 4 wearing shoes, so we are counting those 3 people two times, then we need to subtract 3)

N = 6 + 4 - 3 = 6 + 1 = 7

Then the people that do not use anything in their feet is equal to:

12 - 7 = 5