document.write( "Question 211475This question is from textbook College Algebra
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document.write( ": Equation,Inequalities, and mathematical modeling\r
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document.write( "Renting an Apartment: Three students are planning to rent an apartment for a year and share equally in the cost. By adding a fourth person, each person could save $75 a month. How much is the monthly rent? \n" );
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Algebra.Com's Answer #159819 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Renting an Apartment: Three students are planning to rent an apartment for a year and share equally in the cost. By adding a fourth person, each person could save $75 a month. How much is the monthly rent? \n" ); document.write( ". \n" ); document.write( "Let x=rent per student if 3 room mates \n" ); document.write( "then \n" ); document.write( "12(3x) = \"total rent for 3 room mates (in a year)\" \n" ); document.write( ". \n" ); document.write( "If four students rent \n" ); document.write( "12(4(x-75)) = \"total rent for 4 room mates\" \n" ); document.write( ". \n" ); document.write( "set them equal and solve for x: \n" ); document.write( "12(3x) = 12(4(x-75)) \n" ); document.write( "3x = 4(x-75) \n" ); document.write( "3x = 4x-300 \n" ); document.write( "300+3x = 4x \n" ); document.write( "$300 per month = x \n" ); document.write( ". \n" ); document.write( "So, that's $300 per month for each room mate (if there are only 3 of them) \n" ); document.write( ". \n" ); document.write( "Monthly rent = 3(300) = $900 per month\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |