Question
Download Solution PDFIn a class, there are 60 students. The average weight of the entire class is 42 kg. If there are 36 boys in the class and the average weight of all the boys is 50 kg, then what is the average weight (in kg) of all the girls?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total number of students = 60
Average weight of the entire class = 42 kg
Number of boys = 36
Average weight of boys = 50 kg
Formula Used:
Average weight = Total weight / Number of students
Calculation:
Total weight of the entire class = 60 × 42
⇒ Total weight of the entire class = 2520 kg
Total weight of all boys = 36 × 50
⇒ Total weight of all boys = 1800 kg
Total weight of all girls = Total weight of the entire class - Total weight of all boys
⇒ Total weight of all girls = 2520 - 1800
⇒ Total weight of all girls = 720 kg
Number of girls = Total number of students - Number of boys
⇒ Number of girls = 60 - 36
⇒ Number of girls = 24
Average weight of all girls = Total weight of all girls / Number of girls
⇒ Average weight of all girls = 720 / 24
⇒ Average weight of all girls = 30 kg
The average weight of all the girls is 30 kg.
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