Multiple choice

The average weight of a class of $24$ students is $35$ kg. If the weight of the teacher be included, then the average rises by $400$ g. What is the weight of the teacher?

  1. $40$ kg
  2. $44$kg
  3. $41 $kg
  4. $45$ kg
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total weight of 24 students = 24 * 35 = 840 kg. New average = 35.4 kg. Total weight with teacher = 25 * 35.4 = 885 kg. Teacher's weight = 885 - 840 = 45 kg.

AI explanation

The total weight of the 24 students is 24 times 35, which equals 840 kg. When the teacher is included, the new average becomes 35.4 kg, making the total weight for 25 people equal to 25 times 35.4, or 885 kg. The weight of the teacher is the difference between the new total weight and the original total weight, which is 885 minus 840. The weight of the teacher is 45 kg.