In a class, the average weight of all boys is 54 kg and the average weight of all girls is 48 kg and the average weight of all the students is 51 kg. If the number of girls is 59, then what is the total number of students in the class?

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  1. 138
  2. 118
  3. 128
  4. 124
  5. 108

Answer (Detailed Solution Below)

Option 2 : 118
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Detailed Solution

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Calculation

Let boys = x, girls = 59
Average weight of all students = 51

Total weight = 54x + [48 × 59]

Total students = x + 59

So, [54x + 2832] = 51 × [x + 59]

⇒54x + 2832 = 51x + 3009

⇒3x = 177

⇒x = 59

Total number of students = 59 + 59 = 118

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