Aroller coaster train with 6 passenger cars and the front decoration has a mass of 3500 kg. when the train has the front decoration and only 4 passenger cars, it has a mass of 2400 kg. what is the mass of the decoration and of each passenger car?

The mass of each passenger is 550 kg.

The mass of front decoration is 200 Kg.

Step-by-step explanation:

Given : A roller coaster train with 6 passenger cars and the front decoration has a mass of 3500 kg. when the train has the front decoration and only 4 passenger cars, it has a mass of 2400 kg.

To find : What is the mass of the decoration and of each passenger car?

Solution :

Let the mass of each passenger is x.

Let the mass of front decoration is y.

Mass of 6 passengers and front decoration = 3500 kg.

The equation form is ..........[1]

Mass of 4 passengers and front decoration = 2400 kg.

The equation form is  ........[2]

Solving equation [1] and [2]

Subtract equation [2] from [1],

Put value in [1],

Therefore, The mass of each passenger is 550 kg.

The mass of front decoration is 200 Kg.

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