document.write( "Question 1128521: A wealthy businessman owns a complex which contains 30 apartment. He gets paid R3 000 per month for renting out a two-bedroom apartment and R5 000 per month for renting out a three-bedroom apartment. He collects R106 000 in rent at the end of each month. How many of each type of apartments are in the complex?. \n" ); document.write( "
Algebra.Com's Answer #745043 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A wealthy businessman owns a complex which contains 30 apartment. He gets paid R3 000 per month for renting out a two-bedroom apartment and R5 000 per month for renting out a three-bedroom apartment. He collects R106 000 in rent at the end of each month. How many of each type of apartments are in the complex?. \n" ); document.write( "----- \n" ); document.write( "Equations: \n" ); document.write( "Let \"x\" be the number of 2-bedroom apartments. \n" ); document.write( "Let \"y\" be the number 3-bedroom apartments. \n" ); document.write( "Quantity:: x + y = 30 apartments \n" ); document.write( "Rent Value:: 3000x + 5000y = 106000 \n" ); document.write( "----- \n" ); document.write( "Modify to solve for \"x\":: \n" ); document.write( "5000x + 5000y = 5000*30 \n" ); document.write( "3000x + 5000y = 106000 \n" ); document.write( "-------------------------- \n" ); document.write( "Subtract and solve for \"x\":: \n" ); document.write( "2000x = 44000 \n" ); document.write( "x = 22 (# of 2-bedroom apartments) \n" ); document.write( "y = 30-x = 8 (# of 3-bedroom apartments) \n" ); document.write( "---------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------- \n" ); document.write( " \n" ); document.write( " |