Question

0
9. The average weight of a class of 24 student
is 35 kg. If the weight of the madam be in
cluding the average rises by 400 gm. Th
weight of the madam is
(a) 45 kg
(b) 42 kg
(c) 41 kg
(d) None of these

give answer with explanation​

Answer 1

Total weight of 24 students =24×35=840kg

Total weight of 25 persons with teacher =25×35.4=885kg.

∴ Weight of teacher =(885−840)kg=45kg

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Answer 2

Correct Question:

The average weight of a class of 24 students is 35 kg. If the weight of the madam be included, the average rises by 400 g. The weight of the madam is

(a) 45 kg

(b) 42 kg

(c) 41 kg

(d) None of these

Answer:

45 kg

Explanation:

GIVEN:-

Average weight of 24 students = 35kg.

Average is increasing by 400g, if weight of madam is included.

TO FIND:

Weight of madam = ?

PROCEDURE:

Finding Total weight of students :-

>> Total weight of students = 24( Number of students ) × 35kg( Average weight of students)

>> Total Weight of students = 840 kg.

When madam is included, the total number of person become 1 + 24 = 25 people.

But, we have the additional weight in form of gram (units). We need to change grams into kilograms.

here we go,

Since, 1kg = 1000g

$\implies \sf \: 400g \: = \dfrac{400}{1000} \\ \\ \implies \sf \: 0.4kg$

>> Weight of 25 persons = 25 × (35kg + 0.4kg)

>> Weight of 25 persons = 25 × (35.4kg)

>> Weight of 25 persons = 885kg

Now, finding the weight of madam:-

>> Madam's Weight = Total weight of students - Total weight of all

>> Madam's Weight = 885kg - 840kg

>> Madam's Weight = 45kg

Hence, Madam's weight is 45kg.