Answer :
Final answer:
The average weight of a man and a woman is 77 kg. The lift can safely carry about 9 people, when calculated by dividing the total weight the elevator can carry (720 kg) by the average weight of a person (77kg).
Explanation:
This problem is a matter of determining the maximum number of people the elevator can carry based on the average weight of a man and a woman, which are 84 kg and 70 kg, respectively. We can solve this by first finding the average weight of a person, which is:
(84 kg + 70 kg) / 2 = 77 kg.
This is the average weight of a person. Now, if we want to find the maximum number of people the lift can safely carry, we can divide the total weight the lift can carry by our average weight of a person. So, 720 kg / 77 kg ≈ 9.35. Since we can't have fractional humans, the lift can only safely carry about 9 people.
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