A certain high school has 500 students.
A certain high school has 500 students. Of these students, 40 are taking music, 20 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?
Answer/Solution
450
Steps/Work
We're given a series of facts to work with:
1) A certain high school has 500 students.
2) Of these students:
X are taking music,
Y are taking art, and
Z are taking BOTH music and art.
We're asked how many students are taking NEITHER music nor art?
Let's TEST
X = 40
Y = 20
Z = 10
So, we have 40 students taking music, 20 taking art and 10 taking BOTH music and art.
30 student taking JUST music
10 student taking JUST art
10 student taking BOTH music and art
Total = 50 students
We're asked for the total number of students who are taking NEITHER Course. That is 500 - 50 = 450.
C
1) A certain high school has 500 students.
2) Of these students:
X are taking music,
Y are taking art, and
Z are taking BOTH music and art.
We're asked how many students are taking NEITHER music nor art?
Let's TEST
X = 40
Y = 20
Z = 10
So, we have 40 students taking music, 20 taking art and 10 taking BOTH music and art.
30 student taking JUST music
10 student taking JUST art
10 student taking BOTH music and art
Total = 50 students
We're asked for the total number of students who are taking NEITHER Course. That is 500 - 50 = 450.
C