Select the correct answerConsider a class of 40 students whose average weight is 40 kgs. m new students join this class whose average weight is n kgs. If it is known that m + n = 50, what is the maximum possible average weight of the class now?radio_button_unchecked40.18radio_button_unchecked40.56radio_button_unchecked40.67radio_button_unchecked40.49
Question
Select the correct answerConsider a class of 40 students whose average weight is 40 kgs. m new students join this class whose average weight is n kgs. If it is known that m + n = 50, what is the maximum possible average weight of the class now?radio_button_unchecked40.18radio_button_unchecked40.56radio_button_unchecked40.67radio_button_unchecked40.49
Solution
To find the maximum possible average weight of the class now, we need to maximize the total weight of the new students. Since m + n = 50, the maximum value of n (average weight of new students) will be when m (number of new students) is at its minimum.
The minimum value of m is 1 (since we can't have 0 new students), so the maximum value of n will be 50 - 1 = 49.
So, the total weight of the new students is m * n = 1 * 49 = 49 kgs.
The total weight of the original class is 40 students * 40 kgs = 1600 kgs.
The total weight of the class now is 1600 kgs + 49 kgs = 1649 kgs.
The total number of students now is 40 students + 1 student = 41 students.
So, the new average weight is 1649 kgs / 41 students = 40.22 kgs.
Therefore, the maximum possible average weight of the class now is approximately 40.22 kgs. However, this option is not available in the choices. The closest option is 40.18, but this is not the correct answer. There seems to be a mistake in the options provided.
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