SOLUTION: A commercial airplane has a total mass at take off of 102000 kg. The luggage and fuel are 1/3 the mass of the unloaded plane, and the crew and passengers are 1/4 the mass of th

Question 1151791: A commercial airplane has a total mass at take off of 102000 kg. The luggage and fuel are 1/3
the mass of the unloaded plane, and the crew and passengers are 1/4
the mass of the fuel and luggage. Solve for p, the mass of the unloaded plane.
Answer by ikleyn(52855) (Show Source): You can put this solution on YOUR website!
.


If p is the mass of the unloaded plane, then


    - the luggage and fuel mass is  ,   and

    - the mass of the crew and passengers is  .


The total mass equation is then


    p +  +  = 102000  kilograms.


Simplify and solve for p


     = 102000

    p =  kilograms.


Use your calculator.

Solved.

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