In a group of 200 members, 45% are teenagers and the remaining are adults. The average weight of the whole group is 62 kg. If the average weight of teenagers is 56 kg, then the nearest integral value of the average weight of adults is ________.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 67 kg.
Total weight of 200 members = 200 × 62 = 12400
Number of teenageers = 45% of 200 = 90
Total weight of teenagers = 90 × 56 = 5040
Total weight of adults = 12400 - 5040 = 7360
Number of adults = 200 - 90 = 110
Now, required average = 7360/110
⇒ 736/11 = 66.90 ≈ 67 kg