Question
Download Solution PDFThe average weight of students in a class of 35 is 50 kg. If, however, the weight of the teacher be included the average will be increased by 500 grams. Find the weight of the teacher.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The average weight of students in a class of 35 is 50 kg.
The average weight increases by 500 grams (0.5 kg) when the weight of the teacher is included.
Number of students (n) = 35
Average weight of students = 50 kg
Average weight with teacher included = 50.5 kg (50 + 0.5)
Formula used:
New Average = (Total Weight of Students + Weight of Teacher) / (Number of Students + 1)
Calculation:
Total weight of students = 35 × 50
⇒ Total weight of students = 1750 kg
New average = (1750 + Weight of Teacher) / 36
50.5 = (1750 + Weight of Teacher) / 36
⇒ 50.5 × 36 = 1750 + Weight of Teacher
⇒ 1818 = 1750 + Weight of Teacher
⇒ Weight of Teacher = 1818 - 1750
⇒ Weight of Teacher = 68 kg
∴ The correct answer is option 1.
Last updated on Nov 29, 2024
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