Multiple choice

The maximum weight that an elevator can carry is 350 kg. Three men A, B and C enter into the elevator on the ground floor and their average weight is 84 kg. Another man D enters the elevator on the first floor. Now, the average weight of all 4 people in the elevator is 80 kg. At the second floor, A gets out of the elevator and E enters. E's weight is 3 kg more than D, and the present average weight of all 4 people in the elevator is 79 kg. What is A's weight?

  1. 75 kg

  2. 70 kg

  3. 71 kg

  4. 68 kg

  5. 80 kg

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A Correct answer
AI explanation

The total weight of the four people on the first floor is 80 times 4, which equals 320 kg. When A leaves and E enters on the second floor, the new total weight becomes 79 times 4, equaling 316 kg. The total weight decreases by 4 kg, meaning A weighs 4 kg more than E. Since E is 3 kg heavier than D, A is 7 kg heavier than D. The total weight of A, B, and C is 84 times 3, or 252 kg, making D's weight 320 minus 252, which is 68 kg. Therefore, A weighs 68 plus 7, resulting in 75 kg.