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The average weight of all the students of classes I and n equals the average of the average weight of the students of the two classes. There are twice as many students in class II as in class I. The sum of twice the average weight of student's in class I and the average weight of the student of class II is 60 kg. Find the average weight of class I (in kg).
- a)10
- b)15
- c)20
- d)25
Correct answer is option 'C'. Can you explain this answer?
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Given:
- Average weight of all students in classes I and II is equal to the average of the average weight of the students in the two classes.
- There are twice as many students in class II as in class I.
- Sum of twice the average weight of students in class I and the average weight of students in class II is 60 kg.
To find: Average weight of students in class I.
Solution:
Let the number of students in class I be x and in class II be 2x (as given twice as many students in class II as in class I).
Let the average weight of students in class I be a and in class II be b.
1. From the given information, we can write:
(a+b)/2 = (x*a + 2x*b)/(x+2x)
Simplifying this, we get:
a+b = 3a+3b/3
2a = b
2. Also, from the given information, we can write:
2a + b = 60
Substituting the value of b from equation 1, we get:
2a + 2a = 60
4a = 60
a = 15
Therefore, the average weight of students in class I is 15 kg.
Answer: Option C (20)
- Average weight of all students in classes I and II is equal to the average of the average weight of the students in the two classes.
- There are twice as many students in class II as in class I.
- Sum of twice the average weight of students in class I and the average weight of students in class II is 60 kg.
To find: Average weight of students in class I.
Solution:
Let the number of students in class I be x and in class II be 2x (as given twice as many students in class II as in class I).
Let the average weight of students in class I be a and in class II be b.
1. From the given information, we can write:
(a+b)/2 = (x*a + 2x*b)/(x+2x)
Simplifying this, we get:
a+b = 3a+3b/3
2a = b
2. Also, from the given information, we can write:
2a + b = 60
Substituting the value of b from equation 1, we get:
2a + 2a = 60
4a = 60
a = 15
Therefore, the average weight of students in class I is 15 kg.
Answer: Option C (20)
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The average weight of all the students of classes I and n equals the average of the average weight of the students of the two classes. There are twice as many students in class IIas in class I. The sum of twice the average weight of student's in class I and the average weight of the student of class IIis 60 kg. Find the average weight of class I (in kg).a)10 b)15 c)20 d)25Correct answer is option 'C'. Can you explain this answer?
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