From a survey of 100 college students, a marketing research company found that 65 students owned iPods, 35 owned cars, and 25 owned both cars and iPods.
(a) How many students owned either a car or an iPod (but not both)?
(65+35-25) - 25 = 50
To find the number of students who own either a car or an iPod (but not both), we need to subtract the number of students who own both from the total number of students who own either a car or an iPod.
Let's break down the information given in the problem:
- Total college students surveyed: 100
- Number of students who own iPods: 65
- Number of students who own cars: 35
- Number of students who own both cars and iPods: 25
Now, let's calculate the number of students who own either a car or an iPod (but not both):
1. Calculate the number of students who own either a car or an iPod:
- By adding the number of students who own iPods (65) and the number of students who own cars (35).
- 65 + 35 = 100
2. Subtract the number of students who own both cars and iPods (25) from the total number of students who own either a car or an iPod:
- 100 - 25 = 75
Therefore, according to the survey, 75 college students own either a car or an iPod (but not both).