Question

Average weight of students of a class of 30 is 50kg. If weight of teacher is included, the average weight increase by 500 gram. Find the weight of Teacher.

Answer 1

Answer:

65.5 Kg

Step-by-step explanation:

$Given\\\\No.\;\;of\;\;students=30\\\\Avg\;\;of\;\;30\;\;=50Kg\\\\Total\;Wt.\;of\;class=30\times50=1500Kg\\\\The\; Avg\; increase \;with \;addition \;of \;teacher\; is\; 0.5Kg\\\\Let\;the\;Wt.\;of\;Teacher\;\;be\;\;x\;\;then\\\\\frac{1500+x}{31}=50+0.5\\\\1500+x=50.5\times31\\\\1500+x=1565.5\\\\x=65.5Kg\\\\Therefore\;the\;\;Wt.\;of\;teacher\;\;is\;65.Kg$

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Answer 2

The weight of the teacher is 65.5kg

Explanation:

Given:

1. Total students in a class is 30

2. Average weight of 30 students is 50kg

3. weight of the teacher is included, Average weight increase by 500 gram

To find:

The weight of the teacher

Formula:

Average = Sum of the student weight÷ Total Student

Solution:

==> In the given condition, Average weight of students is 50kg

==> Average = 50 kg

==> Total student = 30

==> Average = Sum of the student weight÷ Total Student

==> 50 = Sum of the student weight ÷ 30

==> Sum of the student weight = 50 × 30

==> Sum of the student weight = 1500

We know that,

1 kg = 1000 g

==> Divide by 2 on both sides

==> 1/2 kg = 500g

==> 500 g = 0.5 kg

==> Average = Sum of the student weight÷ Total Student

==> Average = 50kg+0.5kg

==> Average = 50.5 kg

==> Total Student = 30+ 1 teacher

==> Total student =31

==> Sum of the student and teacher weight = Average × Total Student

==> Sum of the student and teacher weight = 50.5kg × 31

==> Sum of the student and teacher weight = 1565.5

==> To find Teacher weight,

==>  Teacher Weight = 1565.5 - 1500

==> Teacher weight = 65.5 kg

The weight of the teacher is 65.5kg