Multiple choice

A student on his birthday distributed on an average $5$ chocolates per student. If on the arrival of the teacher and the headmaster to whom the student gives $10$ and $15$ chocolates respectively, the average chocolate distributed per head increases to $5.5$,then what is the number of students in the class?

  1. $28$
  2. $30$
  3. $32$
  4. $36$
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A Correct answer
Explanation

Let n be the number of students. Total chocolates = 5n. After adding teacher and headmaster, total = 5n + 10 + 15 = 5n + 25. New average = (5n + 25) / (n + 2) = 5.5. 5n + 25 = 5.5n + 11. 0.5n = 14, so n = 28.

AI explanation

Let the number of students be n. The total chocolates initially distributed were 5 multiplied by n. The total becomes 5n plus 10 plus 15, which is 5n plus 25, and the new average is 5.5 for n plus 2 people. Setting up the equation 5n plus 25 equals 5.5 multiplied by (n plus 2) gives 5n plus 25 equals 5.5n plus 11, so n equals 28.

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