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Out of the total number of students in a class, 55.55% are boys and the remaining 32 are girls and the average weight of a class is 50 kg. If the average weight of boys in the class is 54 kg, then find the average weight of girls in the class?
  • a)
    48 kg
  • b)
    37 kg
  • c)
    45 kg
  • d)
    31 kg
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Out of the total number of students in a class, 55.55% are boys and th...
The number of girls in the class = 32
The number of boys in the class = 32*5/4 = 40
The total number of students in the class = 40+32 = 72
The average weight of girls in the class = x
72*50 = 40*54+32*x
1440 = 32x
x = 45 kg
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Community Answer
Out of the total number of students in a class, 55.55% are boys and th...
Given information:
- 55.55% of students are boys
- Remaining 32 students are girls
- Average weight of the class is 50 kg
- Average weight of boys is 54 kg

To find:
Average weight of girls in the class

Solution:
Let's assume the total number of students in the class is 'x'.

Number of Boys:
Given that 55.55% of students are boys, we can calculate the number of boys in the class as follows:
Number of Boys = (55.55/100) * x

Number of Girls:
Given that the remaining 32 students are girls, we can calculate the number of girls in the class as follows:
Number of Girls = 32

Total Weight of the Class:
The average weight of the class is given as 50 kg. The total weight of the class can be calculated as follows:
Total Weight of the Class = Average Weight * Total Number of Students
Total Weight of the Class = 50 * x

Total Weight of Boys:
The average weight of boys is given as 54 kg. The total weight of boys can be calculated as follows:
Total Weight of Boys = Average Weight of Boys * Number of Boys
Total Weight of Boys = 54 * (55.55/100) * x

Total Weight of Girls:
The total weight of girls can be calculated by subtracting the total weight of boys from the total weight of the class:
Total Weight of Girls = Total Weight of the Class - Total Weight of Boys
Total Weight of Girls = 50 * x - 54 * (55.55/100) * x

Average Weight of Girls:
The average weight of girls can be calculated by dividing the total weight of girls by the number of girls:
Average Weight of Girls = Total Weight of Girls / Number of Girls
Average Weight of Girls = (50 * x - 54 * (55.55/100) * x) / 32

Simplifying the equation further, we get:
Average Weight of Girls = (50 - 54 * (55.55/100)) * x / 32

Calculating the Average Weight of Girls:
Since the average weight of girls is given as 45 kg, we can equate the above equation to 45 and solve for x:
(50 - 54 * (55.55/100)) * x / 32 = 45

Simplifying the equation further, we get:
x ≈ 37.037

Therefore, the average weight of girls in the class is approximately 45 kg. Hence, the correct answer is option C.
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Out of the total number of students in a class, 55.55% are boys and the remaining 32 are girls and the average weight of a class is 50 kg. If the average weight of boys in the class is 54 kg, then find the average weight of girls in the class?a)48 kgb)37 kgc)45 kgd)31 kge)None of theseCorrect answer is option 'C'. Can you explain this answer?
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