From a survey of 200 college students, a marketing research company found that 130 students owned iPhones, 70 owned cars, and 60 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

Venn diagram problem

I phone only. 70
Cars only. 10
Both. 60
Neither 60
Total 200
Hope this will help you

what is the % increase from 288 million to 404 million

To find the answer to part (a), we need to calculate the number of students who own either a car or an iPhone, excluding those who own both.

First, we add the number of students who own cars (70) and the number of students who own iPhones (130). This gives us a total of 200 students who own either a car or an iPhone.

Next, we subtract the number of students who own both (60) from the total we just calculated. This will give us the number of students who own either a car or an iPhone (but not both).

Therefore, the answer to part (a) is 200 - 60 = 140 students.

To find the answer to part (b), we need to calculate the number of students who do not own either a car or an iPhone.

First, we subtract the number of students who own either a car or an iPhone (140) from the total number of students (200).

Therefore, the answer to part (b) is 200 - 140 = 60 students.

To answer these questions, we can use a method called the Inclusion-Exclusion Principle. This principle helps us count objects that belong to multiple categories.

(a) To find the number of students who own either a car or an iPhone (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 iPhone.

Total students = 200
Students who own both cars and iPhones = 60

To find the number of students who own either but not both, we need to subtract the overlapping group from the total number of students who own either:

Number of students who own either a car or an iPhone (but not both) = Total students - Students who own both
= 200 - 60
= 140

Therefore, 140 students own either a car or an iPhone (but not both).

(b) 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 own either a car or an iPhone from the total number of students.

Total students = 200
Number of students who own either a car or an iPhone = 140 (from part a)

Number of students who do not own either a car or an iPhone = Total students - Number of students who own either a car or an iPhone
= 200 - 140
= 60

Therefore, 60 students do not own either a car or an iPhone.