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In a group of 1st year MBA students, 72%like to take coffee 52% like to take tea and 144 students like both the drinks. What is the total number of students in the group?
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In a group of 1st year MBA students, 72%like to take coffee 52% like t...
Understanding the Problem
In a group of first-year MBA students, we need to determine the total number of students based on their preferences for coffee and tea.
Key Information Provided
- 72% like coffee
- 52% like tea
- 144 students like both coffee and tea
Using Venn Diagram Approach
To solve this, we can use the principle of inclusion-exclusion.
Step 1: Definitions
- Let the total number of students be N.
- Let the number of students who like coffee be C = 0.72N.
- Let the number of students who like tea be T = 0.52N.
- Let the number of students who like both drinks be B = 144.
Step 2: Formula Application
According to the principle of inclusion-exclusion:
C + T - B = N
Substituting the values:
0.72N + 0.52N - 144 = N
Step 3: Simplifying the Equation
Combine like terms:
1.24N - 144 = N
Now, isolate N:
1.24N - N = 144
0.24N = 144
Step 4: Solving for N
N = 144 / 0.24
N = 600
Conclusion
The total number of students in the group is 600. This approach not only uses percentages effectively but also applies the principle of inclusion-exclusion to find the answer accurately.
In a group of first-year MBA students, we need to determine the total number of students based on their preferences for coffee and tea.
Key Information Provided
- 72% like coffee
- 52% like tea
- 144 students like both coffee and tea
Using Venn Diagram Approach
To solve this, we can use the principle of inclusion-exclusion.
Step 1: Definitions
- Let the total number of students be N.
- Let the number of students who like coffee be C = 0.72N.
- Let the number of students who like tea be T = 0.52N.
- Let the number of students who like both drinks be B = 144.
Step 2: Formula Application
According to the principle of inclusion-exclusion:
C + T - B = N
Substituting the values:
0.72N + 0.52N - 144 = N
Step 3: Simplifying the Equation
Combine like terms:
1.24N - 144 = N
Now, isolate N:
1.24N - N = 144
0.24N = 144
Step 4: Solving for N
N = 144 / 0.24
N = 600
Conclusion
The total number of students in the group is 600. This approach not only uses percentages effectively but also applies the principle of inclusion-exclusion to find the answer accurately.
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In a group of 1st year MBA students, 72%like to take coffee 52% like to take tea and 144 students like both the drinks. What is the total number of students in the group?
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In a group of 1st year MBA students, 72%like to take coffee 52% like to take tea and 144 students like both the drinks. What is the total number of students in the group? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about In a group of 1st year MBA students, 72%like to take coffee 52% like to take tea and 144 students like both the drinks. What is the total number of students in the group? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a group of 1st year MBA students, 72%like to take coffee 52% like to take tea and 144 students like both the drinks. What is the total number of students in the group?.
In a group of 1st year MBA students, 72%like to take coffee 52% like to take tea and 144 students like both the drinks. What is the total number of students in the group? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about In a group of 1st year MBA students, 72%like to take coffee 52% like to take tea and 144 students like both the drinks. What is the total number of students in the group? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a group of 1st year MBA students, 72%like to take coffee 52% like to take tea and 144 students like both the drinks. What is the total number of students in the group?.
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