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In a zumba class, the average age of all the members was 43.5 years. 10 members left the class and 6 new members joined. If the average age increased by 2 years and the total age decreased by 110, what was the number of members in the class initially?
  • a)
    34
  • b)
    36
  • c)
    32
  • d)
    40
  • e)
    30
Correct answer is option 'B'. Can you explain this answer?
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In a zumba class, the average age of all the members was 43.5 years. 1...
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In a zumba class, the average age of all the members was 43.5 years. 1...
To solve this problem, let's break it down into smaller steps:

Step 1: Let's assume there were initially 'n' members in the class.

Step 2: Initially, the total age of all the members would be 43.5n.

Step 3: After 10 members left, the number of members remaining in the class would be (n - 10).

Step 4: After 6 new members joined, the number of members in the class would be (n - 10 + 6) = (n - 4).

Step 5: The total age of the remaining members after the changes would be (43.5n - 110), as given in the question.

Step 6: The average age after the changes would be [(43.5n - 110) / (n - 4)].

Step 7: According to the question, the new average age is 2 years more than the initial average age. So we have the equation:

[(43.5n - 110) / (n - 4)] = 43.5 + 2

Step 8: Simplifying the equation, we get:

(43.5n - 110) = 45.5(n - 4)

Step 9: Expanding the equation, we get:

43.5n - 110 = 45.5n - 182

Step 10: Solving for 'n', we get:

2n = 72

n = 36

Therefore, the initial number of members in the class was 36. Hence, the correct answer is option 'B'.
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In a zumba class, the average age of all the members was 43.5 years. 10 members left the class and 6 new members joined. If the average age increased by 2 years and the total age decreased by 110, what was the number of members in the class initially?a)34b)36c)32d)40e)30Correct answer is option 'B'. Can you explain this answer?
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In a zumba class, the average age of all the members was 43.5 years. 10 members left the class and 6 new members joined. If the average age increased by 2 years and the total age decreased by 110, what was the number of members in the class initially?a)34b)36c)32d)40e)30Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In a zumba class, the average age of all the members was 43.5 years. 10 members left the class and 6 new members joined. If the average age increased by 2 years and the total age decreased by 110, what was the number of members in the class initially?a)34b)36c)32d)40e)30Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a zumba class, the average age of all the members was 43.5 years. 10 members left the class and 6 new members joined. If the average age increased by 2 years and the total age decreased by 110, what was the number of members in the class initially?a)34b)36c)32d)40e)30Correct answer is option 'B'. Can you explain this answer?.
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