Question

How many (whole number of) 91 kg people

can safely occupy an elevator that can hold a
maximum mass of exactly 1 metric ton? A
metric ton is 1.000 × 103
kg.
Answer in units of people.

Answer 1

10 people.

Step-by-step explanation:

Gives

• The elevator can hold a maximum weight of 1 metric ton.
• 1 metric ton is equivalen to 1000 kilograms, or which is the same
  `1.000 * 10^(3) \ kg`.
• Each person weighs 91 kg.

To know the number of people that can safely occupy the elevator, we just need to divide

`(1000 \ kg)/(91 \ kg) \approx 10`

Therefore, around 10 people can safely occupy the elevator.

Notice that we can round the number to 11, because we cannot do that in real life with people. The decimal number is 10.98, but we there can't ve 10.98 people, because we can't have there a part of a person.

Therefore, the answer is 10 people.

Answer 2

We are given that the maximum mass capacity is 1 metric ton or 1000 kg. Therefore the amount of people this can hold is simply the ratio of the maximum mass capacity over the mass of the person, that is:

people = 1000 kg / 91 kg

people = 10.98

So the elevator can safely occupy 10 people. We will not exceed to 11.