document.write( "Question 1048116: Benjamin and associates, A real estate developer recently built 210 condos. The condos are either two bedroom units or three bedroom units . If the total number of rooms in the entire complex is 535 how many two bedroom units are there? How many three-bedroom? \n" ); document.write( "
Algebra.Com's Answer #663681 by macston(5194)![]() ![]() You can put this solution on YOUR website! (If you mean there are 535 bedrooms total) \n" ); document.write( ". \n" ); document.write( "x=number of two bedroom; y=number of three bedroom \n" ); document.write( ". \n" ); document.write( "x+y=210 \n" ); document.write( "x=210-y Use this to substitute for x \n" ); document.write( ". \n" ); document.write( "2x+3y=535 Substitute for x from above \n" ); document.write( "2(210-y)+3y=535 \n" ); document.write( "420-2y+3y=535 Subtract 420 from each side \n" ); document.write( "y=115 \n" ); document.write( "ANSWER 1: There were 115 three bedroom condos \n" ); document.write( ". \n" ); document.write( "x=210-y \n" ); document.write( "x=210-115 \n" ); document.write( "x=95 \n" ); document.write( "ANSWER 2: There were 95 two bedroom condos \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "2x+3y=535 \n" ); document.write( "2(95)+3(115)=535 \n" ); document.write( "190+345=535 \n" ); document.write( "535=535 \n" ); document.write( ". \n" ); document.write( " |