Question

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 do not like football or baseball

Answer 1

Answer: 242 students do not like football or baseball

Step-by-step explanation:

The total number of students that were surveyed about their preferences of sports is 412. The Venn diagram is shown in the attached photo.

If 45 students like both sports, then the number of students that like football only would be

115 - 45 = 70

Also, the number of students that like baseball only would be

100 - 45 = 55

The number if students that like at least one of the sports is

70 + 55 + 45 = 170

Therefore, the number of students that do not like football or baseball would be

412 - 170 = 242