a group of 25 students, 17 have socks on their feet, 12 have shoes on their feet, and 9 have both socks and shoes on their feet. how many students are barefoot
To find out how many students are barefoot, we need to subtract the number of students who have socks on their feet, the number of students who have shoes on their feet, and the number of students who have both socks and shoes on their feet from the total number of students.
First, let's determine the number of students who have socks and shoes on their feet. We know that 9 students have both socks and shoes on their feet.
Next, let's determine the number of students who have only socks on their feet. To do this, subtract the number of students who have both socks and shoes from the total number of students who have socks. So, 17 - 9 = 8 students have only socks on their feet.
Similarly, let's determine the number of students who have only shoes on their feet. To do this, subtract the number of students who have both socks and shoes from the total number of students who have shoes. So, 12 - 9 = 3 students have only shoes on their feet.
Now, let's calculate the number of students who are barefoot. To do this, subtract the sum of students who have socks, shoes, and both from the total number of students. So, 25 - (8 + 3 + 9) = 25 - 20 = 5 students are barefoot.
Therefore, there are 5 students who are barefoot.