document.write( "Question 284891: Please help me solve the follow two problems!! \r
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document.write( "1/x-a=1/b, find x.\r
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document.write( "and\r
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document.write( "An apartment building contains 12 units consisting of one- and two-bedroom apartments that rent for $360 and $450 per month, respectively. When all units are rented, the total monthly rental is $4,950. What is the number of two-bedroom apartments?\r
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document.write( "Thank you. \n" );
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Algebra.Com's Answer #805027 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! 1/x - a = 1/b \n" ); document.write( "1/x = 1/b + a = (ab + 1)/b \n" ); document.write( "x = \n" ); document.write( "\n" ); document.write( "================================================= \n" ); document.write( "a = number of 1 bedroom apartments \n" ); document.write( "b = number of 2 bedroom apartments\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a + b = 12 \n" ); document.write( "360a + 450b = 4950\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply the first equation by 450.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "450a + 450b = 5400 \n" ); document.write( "360a + 450b = 4950\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract to get 90a = 450, so a = 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There were 5 one-bedroom apartments and 7 two-bedroom apartments. \n" ); document.write( " |