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The mean weight of 150 students in a certain class is 60 kg. The mean weight of boys in the class is 70 kg and that of girls is 55 kg. What is the number of boys in the class?
  • a)
    50
  • b)
    55
  • c)
    60
  • d)
    100
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The mean weight of 150 students in a certain class is 60 kg. The mean ...
By aligation, ratio = 1: 2
∴ no. of boys = 1/3 × 150 = 50
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Most Upvoted Answer
The mean weight of 150 students in a certain class is 60 kg. The mean ...
Given data:
- Total number of students in the class = 150
- Mean weight of all students = 60 kg
- Mean weight of boys = 70 kg
- Mean weight of girls = 55 kg

Let's solve the problem:

Step 1: Calculate the total weight of all students:
Total weight of all students = Mean weight * Total number of students
Total weight of all students = 60 kg * 150 = 9000 kg

Step 2: Calculate the total weight of boys and girls:
Let's assume the number of boys in the class is 'x'.
Number of girls = Total number of students - Number of boys = 150 - x
Total weight of boys = Mean weight of boys * Number of boys
Total weight of girls = Mean weight of girls * Number of girls
Total weight of boys = 70 kg * x
Total weight of girls = 55 kg * (150 - x)

Step 3: Set up the equation:
Total weight of all students = Total weight of boys + Total weight of girls
9000 = 70x + 55(150 - x)

Step 4: Solve the equation:
9000 = 70x + 8250 - 55x
150 = 15x
x = 10
Therefore, the number of boys in the class is 50. So, the correct answer is option A) 50 boys in the class.
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