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A group of girls has an average weight of 34 kg. One girl weighing 58 kg leaves the group and another girl weighing 40 kg joins the group. If the average now becomes 33.4 kg, then how many girls are there in the group? 
  • a)
    40 
  • b)
    30 
  • c)
    42 
  • d)
    32 
Correct answer is option 'B'. Can you explain this answer?
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A group of girls has an average weight of 34 kg. One girl weighing 58 ...
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A group of girls has an average weight of 34 kg. One girl weighing 58 ...
Given data:
Average weight of the group of girls = 34 kg
Weight of a girl who leaves the group = 58 kg
Weight of a girl who joins the group = 40 kg
New average weight of the group of girls = 33.4 kg

Let the number of girls in the group be x.

Solution:
1. Using the formula for the average:
Sum of weights of all the girls / Number of girls = Average weight

2. Using the given data, we can write two equations as follows:
Sum of weights of all the girls / x = 34 (Equation 1)
(Sum of weights of all the girls - 58 + 40) / x = 33.4 (Equation 2)
(We subtract the weight of the girl who left and add the weight of the girl who joined)

3. Solving the equations, we get:
Sum of weights of all the girls = 34x (From Equation 1)
Sum of weights of all the girls - 18 / x = 33.4 (From Equation 2)
34x - 18 = 33.4x
0.6x = 18
x = 30

Therefore, there are 30 girls in the group.

Answer: (b) 30
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A group of girls has an average weight of 34 kg. One girl weighing 58 kg leaves the group and another girl weighing 40 kg joins the group. If the average now becomes 33.4 kg, then how many girls are there in the group?a)40b)30c)42d)32Correct answer is option 'B'. Can you explain this answer?
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A group of girls has an average weight of 34 kg. One girl weighing 58 kg leaves the group and another girl weighing 40 kg joins the group. If the average now becomes 33.4 kg, then how many girls are there in the group?a)40b)30c)42d)32Correct answer is option 'B'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about A group of girls has an average weight of 34 kg. One girl weighing 58 kg leaves the group and another girl weighing 40 kg joins the group. If the average now becomes 33.4 kg, then how many girls are there in the group?a)40b)30c)42d)32Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A group of girls has an average weight of 34 kg. One girl weighing 58 kg leaves the group and another girl weighing 40 kg joins the group. If the average now becomes 33.4 kg, then how many girls are there in the group?a)40b)30c)42d)32Correct answer is option 'B'. Can you explain this answer?.
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