SOLUTION: Ok i asked this question earlier... ``music store surveys 100 people... 63 like rock music 49 like rap music 24 like jazz 22 like rap and rock, not jazz 2 like rap and

Algebra ->  Human-and-algebraic-language -> SOLUTION: Ok i asked this question earlier... ``music store surveys 100 people... 63 like rock music 49 like rap music 24 like jazz 22 like rap and rock, not jazz 2 like rap and       Log On


   

Question 104445: Ok i asked this question earlier...
``music store surveys 100 people...
63 like rock music
49 like rap music
24 like jazz
22 like rap and rock, not jazz
2 like rap and jazz, not rock
11 like rock and jazz, not rap
3 like all types
How many do not like any?''
I already know the answer is 5, my daughter looked in the back of the book, but what we cant figure out is how they came up with that answer, and I'm not comprehending what the last guy said. Any help?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
63 like rock - 22 like rap & rock - 11 like rock & jazz - 3 like all 3 ... so 27 like JUST rock

49 like rap - 22 like rap & rock - 2 like rap & jazz - 3 like all 3 ... so 22 like JUST rap

24 like jazz - 2 like rap & jazz - 11 like rock & jazz - 3 like all 3 ... so 8 like JUST jazz

3 like all 3
11 like just rock & jazz
22 like just rap & rock
2 like just rap & jazz
27 like just rock
22 like just rap
8 like just jazz

so 95 people like some kind of music ... leaving 5 who don't like any


if you remember Venn diagrams - the intersecting circles - you could solve it that way