Answer :
The maximum number of people the lift can safely carry is 8 people.
Given that, the average mass of a man is 84 kg and of a woman is 70 kg.
What is the average?
In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Now, average = (84+72)/2
= 156/2
= 78
Let the number of people in the left be n.
So, 78n≤620
Divide 78 to both the sides of the inequality
78n/78≤620/78
⇒ n≤7.9
⇒ n≤8
Therefore, the maximum number of people the lift can safely carry is 8 people.
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Final answer:
To work out the maximum number of people the lift can safely carry, we first calculate the average weight of a person, and then divide the total weight the lift can carry by this average weight. The lift can carry safe 8 people with average weight.
Explanation:
We first have to find the average weight of a person, both male and female. According to the question, the average mass of a man is 84 kg and of a woman is 70 kg. Therefore, the average mass of a person, regardless of gender, is (84 kg + 70 kg) ÷ 2 = 77 kg.
Now, we know that the lift can safely carry up to 620 kg. To find out the maximum number of people that the lift can safely carry, we have to divide the total weight the lift can hold by the average weight of a person. So, 620 kg ÷ 77 kg ≈ 8. Therefore, the lift can carry 8 people safely, considering their average weight.
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