Campus Rentals rents 2- and 3-bedroom apartments for $700 and $900 a month respectively. Last month they had six vacant apartments and reported $4600 in lost rent. How many of each type of apartment were vacant?

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15-07-2014
Mathematics

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Campus Rentals rents 2- and 3-bedroom apartments for $700 and $900 a month respectively. Last month they had six vacant apartments and reported $4600 in lost rent. How many of each type of apartment were vacant?

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luana luana · Answer 1 · 2014-08-07T12:03:00-04:00

luana luana

07-08-2014

[tex]x-\ amount\ of\ 2-bedroom\\ y-\ amount\ of \ 3-bedroom\\\\ x+y=6\ \ -->x=6-y\\ 4600=x*700+y*900\\\\ 4600=700(6-y)+900y\\\\ 4600=4200-700y+900y\\\\ 4600-4200=200y\\\\ 400=200y\ |:200\\\\y=2\\x=6-y=6-2=4\\\\ Two\ 2-bedroom\ apartaments\ and\ four\ 3-bedroom\ apartaments\\were\ vacant,[/tex]

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