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?	Choices:  A) 430  B) 440  C) 450  D) 460  E) 470
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= 
<gadget id="calculator">500 - 50</gadget>
<output>450</output>
450.   450
<result>C</result>
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?