Question: Kindly help with the solution. Help with the workings, how you got the answer so i can follow the example for next one. Thank you

Kindly help with the solution. Help with the workings, how you got the answer so i can follow the example for next one. Thank you very much!

(Car Sales)Of the cars sold during the month of July, 90 had air conditioning, 102 had automatic transmission, and 72 had power steering.7 cars had all three of these extras.22 cars had none of these extras. 25 cars had only air conditioning, 61 cars had only automatic transmissions, and 33 cars had only power steering.11 cars had both automatic transmission and power steering.How many cars had exactly two of the given options?a)84 b)4 c) 69 d)97 e)62

A survey of 500 high school students was taken to determine their favorite chocolate candy.Of the 500 students surveyed, 42 like Snickers, 110 like Twix, 124 like Reese's Peanut Butter Cups, 33 like Snickers and Twix, 62 like Twix and Reese's Peanut Butter Cups, 26 like Snickers and Reese's Peanut Butter Cups, and 22 like all three kinds of chocolate candy.How many students like Snickers, but not Twix or Reese's Peanut Butter Cups? a)42 b)15 c) 20 d)37 e)5

A survey of 500 high school students was taken to determine their favorite chocolate candy.Of the 500 students surveyed, 77 like Snickers, 82 like Twix, 108 like Reese's Peanut Butter Cups, 54 like Snickers and Twix, 25 like Twix and Reese's Peanut Butter Cups, 29 like Snickers and Reese's Peanut Butter Cups, and 10 like all three kinds of chocolate candy.How many students like at most 2 kinds of these chocolate candies? a)490 b)59 c)78 d) 88 e)159

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?(Note:A Venn diagram may be useful here.)a)160 b)144 c)154 d)141 e)196

433 students were surveyed about their preferences of sports.143 students like football, 135 students like baseball, and 45 students like both sports.How many students like exactly one of the two sports? a)98 b)188 c)278 d)90 e)143

446 students were surveyed about their preferences of sports.107 students like football, 141 students like baseball, and 48 students like both sports.How many students do not like football or baseball? a)93 b)246 c)293 d)150 e)141

A survey of 391 children given at a local elementary school showed that 175 like chocolate ice cream, 150 like pistachio ice cream, and 166 do not like chocolate or pistachio ice cream.How many children like both chocolate ice cream and pistachio ice cream? a)75 b)100 c)225 d)325 e)125

Suppose thatn(U) = 200,n(A) = 165,n(B) = 95,andn(AB) = 80.Findn(AcB). a)85 b)95 c)15 d) 35 e)115

Suppose thatSis the set of successful students in a classroom, and thatFstands for the set of freshmen students in that classroom.Findn(SF)given that

n(S) = 59,n(F) = 25andn(SF) = 64 . a)148 b)0 c)123 d) 84 e)20

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