From a survey of 100 college students, a marketing research company found that 70 students owned iPhones, 30 owned cars, and 15 owned both cars and iPhones.
(a) How many students owned either a car or an iPhone (but not both)?
students
(b) How many students do not own either a car or an iPhone?
students
a) 70b)15
To find the number of students who owned either a car or an iPhone (but not both), we need to subtract the number of students who owned both from the total number of students who owned either a car or an iPhone.
Let's solve part (a) step-by-step:
1. Start by finding the total number of students who owned either a car or an iPhone.
- According to the survey, 70 students owned iPhones and 30 owned cars.
- So, the total number of students who owned either a car or an iPhone is 70 + 30 = 100.
2. Next, subtract the number of students who owned both cars and iPhones.
- According to the survey, 15 students owned both cars and iPhones.
Total number of students who owned either a car or an iPhone (but not both) = Total number of students who owned either a car or an iPhone - Number of students who owned both cars and iPhones.
Therefore,
(a) Number of students who owned either a car or an iPhone (but not both) = 100 (Total number of students who owned either a car or an iPhone) - 15 (Number of students who owned both cars and iPhones).
To find the number of students who do not own either a car or an iPhone, we need to subtract the total number of students who owned either a car or an iPhone from the total number of college students.
Let's solve part (b) step-by-step:
1. Find the total number of college students.
- According to the survey, 100 college students were surveyed.
2. Subtract the total number of students who owned either a car or an iPhone from the total number of college students.
Number of students who do not own either a car or an iPhone = Total number of college students - Number of students who owned either a car or an iPhone.
Therefore,
(b) Number of students who do not own either a car or an iPhone = 100 (Total number of college students) - 100 (Total number of students who owned either a car or an iPhone).