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In a certain town, 25% families own a cell phone,15% families own a scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is:
- a)10,000
- b)20,000
- c)30,000
- d)40,000
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In a certain town, 25% families own a cell phone,15% families own a sc...
Step-by-step Explanation:
Since we have given that,
Percentage of families own a cell phone = 25%
Percentage of families own a scooter = 15%
Percentage of families neither own = 65%
So, it becomes,
P(C ∪ S)' = 1 - P(C ∪ S)
0.65 = 1 - P(C ∪ S)
1 - 0.65 = P(C ∪ S)
P(C ∪ S) = 0.35
So, it becomes,
P(C ∪ S) = P(C) + P(S) - P(C ∩ S)
0.35 = 0.25 + 0.15 - x
0.35 = 0.40 - x
x = 0.05
Thus, 0.05 x Total number of families in town = 1500
Total number of families in the town =
1500 / 0.05 = 30,000
Hence, the total number of families in the town is 30,000.
Since we have given that,
Percentage of families own a cell phone = 25%
Percentage of families own a scooter = 15%
Percentage of families neither own = 65%
So, it becomes,
P(C ∪ S)' = 1 - P(C ∪ S)
0.65 = 1 - P(C ∪ S)
1 - 0.65 = P(C ∪ S)
P(C ∪ S) = 0.35
So, it becomes,
P(C ∪ S) = P(C) + P(S) - P(C ∩ S)
0.35 = 0.25 + 0.15 - x
0.35 = 0.40 - x
x = 0.05
Thus, 0.05 x Total number of families in town = 1500
Total number of families in the town =
1500 / 0.05 = 30,000
Hence, the total number of families in the town is 30,000.
Most Upvoted Answer
In a certain town, 25% families own a cell phone,15% families own a sc...
Given:
- 25% families own a cell phone
- 15% families own a scooter
- 65% families own neither a cell phone nor a scooter
- 1500 families own both a cell phone and a scooter
To find: Total number of families in the town
Approach:
- Let's assume the total number of families in the town be 'x'
- We can create a Venn diagram to represent the given information
- The total number of families in the town can be found by adding the number of families that own a cell phone, the number of families that own a scooter, the number of families that own both, and the number of families that own neither
Solution:
Let's assume the total number of families in the town be 'x'.
- Number of families that own a cell phone = 25% of x = 0.25x
- Number of families that own a scooter = 15% of x = 0.15x
- Number of families that own both a cell phone and a scooter = 1500
- Number of families that own neither a cell phone nor a scooter = 65% of x = 0.65x
Using the Venn diagram, we can write:
0.25x + 0.15x - 1500 + 0.65x = x
Simplifying the above equation:
0.05x = 1500
x = 30,000
Therefore, the total number of families in the town is 30,000.
Answer: Option (c)
- 25% families own a cell phone
- 15% families own a scooter
- 65% families own neither a cell phone nor a scooter
- 1500 families own both a cell phone and a scooter
To find: Total number of families in the town
Approach:
- Let's assume the total number of families in the town be 'x'
- We can create a Venn diagram to represent the given information
- The total number of families in the town can be found by adding the number of families that own a cell phone, the number of families that own a scooter, the number of families that own both, and the number of families that own neither
Solution:
Let's assume the total number of families in the town be 'x'.
- Number of families that own a cell phone = 25% of x = 0.25x
- Number of families that own a scooter = 15% of x = 0.15x
- Number of families that own both a cell phone and a scooter = 1500
- Number of families that own neither a cell phone nor a scooter = 65% of x = 0.65x
Using the Venn diagram, we can write:
0.25x + 0.15x - 1500 + 0.65x = x
Simplifying the above equation:
0.05x = 1500
x = 30,000
Therefore, the total number of families in the town is 30,000.
Answer: Option (c)
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In a certain town, 25% families own a cell phone,15% families own a scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is:a)10,000b)20,000c)30,000d)40,000Correct answer is option 'C'. Can you explain this answer?
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In a certain town, 25% families own a cell phone,15% families own a scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is:a)10,000b)20,000c)30,000d)40,000Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a certain town, 25% families own a cell phone,15% families own a scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is:a)10,000b)20,000c)30,000d)40,000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a certain town, 25% families own a cell phone,15% families own a scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is:a)10,000b)20,000c)30,000d)40,000Correct answer is option 'C'. Can you explain this answer?.
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