SOLUTION: In a music poll of 25 students. 15 liked rock, 9 liked jazz, and 12 liked rap. 4 students liked all 3 types of music. 4 liked only rock and jazz, and 5 liked only rock and rap. If

Algebra ->  Rate-of-work-word-problems -> SOLUTION: In a music poll of 25 students. 15 liked rock, 9 liked jazz, and 12 liked rap. 4 students liked all 3 types of music. 4 liked only rock and jazz, and 5 liked only rock and rap. If       Log On


   

Question 1064534: In a music poll of 25 students. 15 liked rock, 9 liked jazz, and 12 liked rap. 4 students liked all 3 types of music. 4 liked only rock and jazz, and 5 liked only rock and rap. If no students liked only jazz and rap, how many students did not like any of these types of music?
Answer by stanbon(75887) About Me  (Show Source):
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In a music poll of 25 students. 15 liked rock, 9 liked jazz, and 12 liked rap. 4 students liked all 3 types of music. 4 liked only rock and jazz, and 5 liked only rock and rap. If no students liked only jazz and rap, how many students did not like any of these types of music?
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Sketch a rectangle with 3 intersecting circles labeled rock, jazz, rap
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Put 4 at the intersection of all three circles
Put 4 at the intersection of rock and jazz
Put 5 at the intersection of rap and rock
Put 0 at the intersection of jazz and rap
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Total in the circles:: 4 + 4 + 5 = 13
Ans: # none of the circles = 25-13 = 12
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Cheers,
Stan H.
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