A helium-filled blimp stays aloft since helium is less dense than regular air, so helium will rise above regular
air. The density of helium is about 1.1 kg/m less than regular air, which means a cubic meter of helium
can lift about 1.1 kg. A blimp with a mass of 2.13 x 10 kg can carry as much as 2 x 10 m of helium.
If the average mass of a person with luggage is 10²kg, what is the number of passengers the blimp can
carry?

The blimp can carry 70 passengers

Step-by-step explanation:

Lets use the ratio method to solve this problem

∵ 1 cubic meter of helium  can lift about 1.1 kg

∵ A blimp can carry as much as 2 x m³ of helium

By using the ratio method

→  m³         :  kg

→  1            :  1.1

→  2 x   :  x

By using cross multiplication

∴ x × 1 = 1.1 × 2 x

∴ x = 2.2 x

∵ x represents the mass that can carried by the helium

∴  2 x m³ of helium can lift 2.2 x kg

∵ The mass of the blimp is 2.13 x kg

- Subtract the mass of the blimp from the mass that the given

    amount of helium can lift to find the mass of the passengers

∴ The mass of the passengers = 2.2 x - 2.13 x

- Subtract 2.13 from 2.2 ⇒ 2.2 - 2.13 = 0.07

∴ The mass of the passengers = 0.07 x

∵ The average mass of a person with luggage is 10² kg

- Divide the mass of the passengers by the mass of the person

   to find the number of the passengers

∴ The number of passengers = 0.07 x ÷ 10²

- Subtract the exponents of 10 to find the answer

∵ ÷ 10² = = 10³

∴ The number of passengers = 0.07 x 10³

∴ The number of passengers = 0.07 × 1000

∴ The number of passengers = 70

The blimp can carry 70 passengers

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step-by-step explanation: