Question

2 The average weight of the class of 35 students was 45kg. with The admission of a new student The average meight came down to 44.5kg. Find the weight / of new studente​

Answer 1

Question :-

2 The average weight of the class of 35 students was 45kg. with The admission of a new student The average meight came down to 44.5kg. Find the weight / of new studente.

Answer :-

• The weight of new students is 44kg.

Step by step explanation :-

Let the new students average weight will be x.

Now,

Given :-

• The average weight of the class of 35 students was 45kg.

We can write all conditions in algebraic equation,

$\sf:\longmapsto{ \frac{45 + x}{2} = 44.5}$

Now, we evaluate this.

$\sf:\longmapsto{45 + x = 44.5 \times 2} \\ \\ \sf:\longmapsto{45 + x = 89} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf:\longmapsto{x = 89 - 44} \: \: \: \: \: \: \: \: \: \: \\ \\ \bf:\longmapsto \red{x = 44kg} \: \: \: \: \: \: \: \: \: \: \: \:$

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The average weight of 19 students was 50 kg. By the admission of a new student the average weight is reduced to 49.6 kg. The weight of the new student is:

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Answer 2

Answer:

63 kg

Step-by-step explanation:

Total weight =45×35

=1575 kg

new mean=Total weight +weight of teacher/36

45.5×36=1575+weight of teacher

1638-1575=weight of teacher

therefore weight of teacher is 63kg