The average weight of 35 students in a class is 40kg. If the weight of the teacher is also included, the average rises by 0.5 kg. The weight of the teacher is

40.5 kg

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50 kg

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58 kg

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64 kg

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Solution

The correct option is C
58 kg

Average weight = $\frac{s u m o f w e i g h t o f s t u d e n t s}{35} = 40 k g$
Sum of the weight of the students = $40 \times 35 = 1400 k g$
Let the teachers weight be 'w'.
New average weight= $\frac{1400 + w}{36} = 40.5 k g$
$\Rightarrow w = 40.5 \times 36 - 1400 = 1458 - 1400 = 58 k g$

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The average weight of 35 students in a class is 40kg. If the weight of the teacher is also included, the average rises by 0.5 kg. The weight of the teacher is

The correct option is C 58 kg Average weight = sumofweightofstudents35=40 kg Sum of the weight of the students = 40×35=1400 kg Let the teachers weight be 'w'. New average weight= 1400+w36=40.5 kg ⇒w=40.5×36−1400=1458−1400=58 kg