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There is a group of 80 persons who can drive scooter or car or both. Out of these, 35 can drive scooter and 60 can drive car. Find how many can drive both scooter and car? How many can drive scooter only? How many can drive car only?
- a)35
- b)45
- c)55
- d)65
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
There is a group of 80 persons who can drive scooter or car or both. O...
Lets sis assume that A = SCOOTER DRIVER B = CAR DRIVER C= BOTH
A U B = A+ B - A INTERSECTION B
80 = 35+ 60 - BOTH CAR AND SCOOTER DRIVER
BOTH= 15 oo no its not option but i DON'T delete it my hard work
A U B = A+ B - A INTERSECTION B
80 = 35+ 60 - BOTH CAR AND SCOOTER DRIVER
BOTH= 15 oo no its not option but i DON'T delete it my hard work
Community Answer
There is a group of 80 persons who can drive scooter or car or both. O...
Given information:
- Total number of persons = 80
- Number of persons who can drive scooter = 35
- Number of persons who can drive car = 60
To Find:
- Number of persons who can drive both scooter and car
- Number of persons who can drive scooter only
- Number of persons who can drive car only
Solution:
Let's solve this problem step by step.
1. Number of persons who can drive both scooter and car:
Let's assume the number of persons who can drive both scooter and car as 'x'. From the given information, we know that 35 persons can drive scooter and 60 persons can drive car. Therefore, the total number of persons who can drive both scooter and car is the intersection of these two groups.
From the given information, we can write the equation as:
Number of persons who can drive scooter + Number of persons who can drive car - Number of persons who can drive both scooter and car = Total number of persons
35 + 60 - x = 80
=> 95 - x = 80
=> x = 95 - 80
=> x = 15
Therefore, the number of persons who can drive both scooter and car is 15.
2. Number of persons who can drive scooter only:
To find the number of persons who can drive scooter only, we need to subtract the number of persons who can drive both scooter and car from the number of persons who can drive scooter.
From the given information, we can write the equation as:
Number of persons who can drive scooter - Number of persons who can drive both scooter and car = Number of persons who can drive scooter only
35 - 15 = 20
Therefore, the number of persons who can drive scooter only is 20.
3. Number of persons who can drive car only:
To find the number of persons who can drive car only, we need to subtract the number of persons who can drive both scooter and car from the number of persons who can drive car.
From the given information, we can write the equation as:
Number of persons who can drive car - Number of persons who can drive both scooter and car = Number of persons who can drive car only
60 - 15 = 45
Therefore, the number of persons who can drive car only is 45.
Summary:
- Number of persons who can drive both scooter and car = 15
- Number of persons who can drive scooter only = 20
- Number of persons who can drive car only = 45
Therefore, the correct answer is option 'B' (45).
- Total number of persons = 80
- Number of persons who can drive scooter = 35
- Number of persons who can drive car = 60
To Find:
- Number of persons who can drive both scooter and car
- Number of persons who can drive scooter only
- Number of persons who can drive car only
Solution:
Let's solve this problem step by step.
1. Number of persons who can drive both scooter and car:
Let's assume the number of persons who can drive both scooter and car as 'x'. From the given information, we know that 35 persons can drive scooter and 60 persons can drive car. Therefore, the total number of persons who can drive both scooter and car is the intersection of these two groups.
From the given information, we can write the equation as:
Number of persons who can drive scooter + Number of persons who can drive car - Number of persons who can drive both scooter and car = Total number of persons
35 + 60 - x = 80
=> 95 - x = 80
=> x = 95 - 80
=> x = 15
Therefore, the number of persons who can drive both scooter and car is 15.
2. Number of persons who can drive scooter only:
To find the number of persons who can drive scooter only, we need to subtract the number of persons who can drive both scooter and car from the number of persons who can drive scooter.
From the given information, we can write the equation as:
Number of persons who can drive scooter - Number of persons who can drive both scooter and car = Number of persons who can drive scooter only
35 - 15 = 20
Therefore, the number of persons who can drive scooter only is 20.
3. Number of persons who can drive car only:
To find the number of persons who can drive car only, we need to subtract the number of persons who can drive both scooter and car from the number of persons who can drive car.
From the given information, we can write the equation as:
Number of persons who can drive car - Number of persons who can drive both scooter and car = Number of persons who can drive car only
60 - 15 = 45
Therefore, the number of persons who can drive car only is 45.
Summary:
- Number of persons who can drive both scooter and car = 15
- Number of persons who can drive scooter only = 20
- Number of persons who can drive car only = 45
Therefore, the correct answer is option 'B' (45).
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