All of the students at a college are majoring in psychology, business, or both. 73% of the students are psychology majors, & 62% are business majors. If there are 200 students, how many of them are majoring in both psychology & business?
Answers
Here you go...
Total no of students=200
No of students majoring in psychology=0.73*200=146
No of students majoring in business=0.62*200=124
No of students majoring in both=x
Then,
146-x+124-x+x=200
x=70
70 students are majoring in both.
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Concept:
Sets are a collection of well-defined objects or elements. A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}. For example, set A is a collection of all the natural numbers, such as A = {1,2,3,4,5,6,7,8,…..∞}. Also, check sets here.
Sets can be represented in three forms:
Roster Form: Example- Set of even numbers less than 8={2,4,6}
Statement Form: Example-A = {Set of Odd numbers less than 9}
Set Builder Form: Example: A = {x: x=2n, n ∈ N and 1 ≤ n ≤ 4}
Given:
All of the students at a college are majoring in psychology, business, or both. 73% of the students are psychology majors, & 62% are business majors. If there are 200 students,
Find:
How many of them are majoring in both psychology & business?
Solution:
Total no of students=200
No of students majoring in psychology=0.73*200=146
No of students majoring in business=0.62*200=124
No of students majoring in both=x
Then,
146-x+124-x+x=200
x=70
Therefore,70 students are majoring in both.
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