Solve the problem.
-In a survey of 137 vacationers in a popular beach resort town, 70 indicated they would consider buying ahome there, 62 would consider buying a beach villa, 57 would consider buying a lot, 27 would considerboth a home and a villa, 34 would consider both a home and a lot, 24 would consider both a villa and a lot,and 15 would consider all three. How many vacationers would not consider any of the three? How manywould consider only a home?
A)18; 24
B)33; 36
C)18; 14
D)18; 26

Question

Quizplus · Accepted Answer

To find the number of vacationers who would not consider any of the three options, we add up the number of vacationers who indicated they would consider each option, and subtract the number who indicated they would consider two or three options (since they are already counted in the previous sums).

70 + 62 + 57 - 27 - 34 - 24 + 15 = 119

So, 119 vacationers would consider at least one of the three options, which means the remaining vacationers (137 - 119 = 18) would not consider any of the three.

To find the number of vacationers who would consider only a home, we need to subtract the number who indicated they would consider a home and at least one other option (since they are already counted in the previous sums) from the number who indicated they would consider a home.

70 - 27 - 34 + 15 = 24

So, 24 vacationers would consider only a home.

Solve the Problem. -In a Survey of 137 Vacationers in a Popular Beach