Question
Download Solution PDFThe average weight of 42 students of a class is 35.5 kg. If the weight of a teacher is also included, then the average weight is increased by 750 g. What is the weight (in kg) of the teacher?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Number of students = 42
Average weight of students = 35.5 kg
Increase in average weight when teacher is included = 750 g
Formula Used:
Average = Total sum / Number of items
Total sum = Average × Number of items
Calculation:
Total weight of 42 students = Average weight of students × Number of students
Total weight of students = 35.5 kg × 42 = 1491 kg
Increase in average weight = 750 g = 750 / 1000 kg = 0.75 kg
New average weight (including teacher) = Original average weight + Increase in average weight
New average weight = 35.5 kg + 0.75 kg = 36.25 kg
Total number of people (including teacher) = Number of students + 1 = 42 + 1 = 43
Total weight of students and teacher = New average weight × Total number of people
Total weight (students + teacher) = 36.25 kg × 43 = 1558.75 kg
Weight of the teacher = Total weight (students + teacher) - Total weight of students
Weight of the teacher = 1558.75 kg - 1491 kg = 67.75 kg
The weight of the teacher is 67.75 kg.
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