Question 1040612: 1. 302 car stereos were recently sold in a car audio store. 149 had a CD player, 116 had a cassette player, and 40 had both a CD and a cassette player. How many had a CD player only?
2. 412 students were surveyed about their preferences of sports. 115 students like football, 100 students like baseball, and 45 students like both sports. How many students like exactly one of the two sports?
3. A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 196 like rock,161 like country, and 113 like jazz. Moreover, 25 like rock and country, 17 like rock and jazz, 22 like country and jazz, and 6 like all three types of music. How many students surveyed liked rock only?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Football--115
Baseball-100
That is 215, but 45 are double counted, so that is subtracted to give 170. That is the number liking exactly one.
------------------
For this, it helps to draw three intersecting circles
one is rock, and outside put 196
one is country, and outside put 161
One is jazz and outside put 113
Rock alone is 196 minus 25 for rock and country minus 17 more for rock and jazz minus 6 for all three=148
Country is 161 minus 25 minus 22 minus 6, or 108
Jazz is 113 minus 17 minus 22 minus 6 or 68
Rock only is what is asked for and that is 148
------------------
302 sold
149 CD
116 Cassette
40 both that is subtracted from CD to give 109
|
|
|
