SOLUTION: An airplane has a total of 387 seats. The number of coach-class seats is 2 more than 4 times the number of first-class seats. How many of each type of seat are there on the plane?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An airplane has a total of 387 seats. The number of coach-class seats is 2 more than 4 times the number of first-class seats. How many of each type of seat are there on the plane?      Log On


   

Question 233622: An airplane has a total of 387 seats. The number of coach-class seats is 2 more than 4 times the number of first-class seats. How many of each type of seat are there on the plane?
Answer by stanbon(75887) About Me  (Show Source):
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An airplane has a total of 387 seats. The number of coach-class seats is 2 more than 4 times the number of first-class seats. How many of each type of seat are there on the plane?
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Let the number of 1st-class seats be "x".
Then number of coach seats is "4x+2".
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Equation:
x + 4x+2 = 387
5x = 385
x = 77 (# of 1st class seats)
387-77 = 310 (# of coach seats)
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Cheers,
Stan H.