SOLUTION: Campus rentals rent 2 bedroom and 3 bedroom apartments for $700 and $900 per month, respectively. Last month they rented six new apartments and reported $4600 in new rent money. Ho

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Campus rentals rent 2 bedroom and 3 bedroom apartments for $700 and $900 per month, respectively. Last month they rented six new apartments and reported $4600 in new rent money. Ho      Log On


   

Question 1050562: Campus rentals rent 2 bedroom and 3 bedroom apartments for $700 and $900 per month, respectively. Last month they rented six new apartments and reported $4600 in new rent money. How many new apartments of each type were there?
Found 2 solutions by solver91311, addingup:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of $700 rentals and then must represent the number of $900 rentals. The amount of rent collected from $700 rentals is and the amount of rent collected from the $900 rentals is . The sum of these two amounts is given as $4600, so:



Solve for and then calculate

John

My calculator said it, I believe it, that settles it

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let the apartments be x and y for 700 and 900
x+y = 6 and x = 6-y
700x+900y = 4600 Substitute for x
700(6-y)+900y = 4600
4200-700y+900y = 4600
200y = 400
y = 2 Two apartments at $900 were rented, and
x = 6-y = 6-2 = 4 apartments were rented at 700
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Check:
2*900 = 1800
4*700 = 2800
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Total = 4600 Correct
:
John