of 50 students surveyed, 22 have a skateboard, and 18 have roller shoes. of those, 6 students have both. how many students have neither a skateboard nor roller shoes?
i don't know how to solve this
at first i thought it was 4 but in the back of the book it said the answer was 156 students and i don't know how it got the answer
16 students
If you add up 22+18, that's 40.
But, you counted the 6 who have both twice, so that leaves only 34.
So, of the 50 students, 34 have shoes or boards, or both. So, 16 students have neither.
To find out how many students have neither a skateboard nor roller shoes, we need to subtract the number of students who have either a skateboard or roller shoes from the total number of students.
First, let's find the number of students who have either a skateboard or roller shoes by adding the number of students with a skateboard (22) to the number of students with roller shoes (18):
22 + 18 = 40
However, we need to subtract the number of students who have both a skateboard and roller shoes since they have already been counted twice. The problem states that 6 students have both:
40 - 6 = 34
Thus, 34 students have either a skateboard or roller shoes.
To find the number of students who have neither a skateboard nor roller shoes, we subtract this number from the total number of students surveyed:
50 - 34 = 16
Therefore, there are 16 students who have neither a skateboard nor roller shoes.