An apartment complex has 1-bedroom apartments and 2-bedroom apartments.  There are a total of 78 apartments in the complex, and there are twice as many 2-bedroom apartments as 1-bedroom apartments.  If you want to find the number of apartments of each type, which system of equations could be used to solve the problem? Let x be the number of 1-bedroom apartments, and let y be the number of 2-bedroom apartments.   A.  x + y = 78          2 + y = x B.  x + y = 78          2x = y C.  x + y = 78          2y = x D.  x + 2y = 78          2y = x E.  x + 2y = 78          2x = y

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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An apartment complex has 1-bedroom apartments and 2-bedroom apartments.  There are a total of 78 apartments in the complex, and there are twice as many 2-bedroom apartments as 1-bedroom apartments. 

If you want to find the number of apartments of each type, which system of equations could be used to solve the problem?

Let x be the number of 1-bedroom apartments, and let y be the number of 2-bedroom apartments.

 

  • A.

     x + y = 78

             2 + y = x

  • B.

     x + y = 78

             2x = y

  • C.

     x + y = 78

             2y = x

  • D.

     x + 2y = 78

             2y = x

  • E.

     x + 2y = 78

             2x = y

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