document.write( "Question 514509: Formulate but do not solve the problem.\r
\n" ); document.write( "\n" ); document.write( "Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting of x one-bedroom units, y two-bedroom townhouses, and z three-bedroom townhouses. A total of 192 units are planned, and the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units. If the number of one-bedroom units will be 3 times the number of three-bedroom units, find how many units of each type will be in the complex.
\n" ); document.write( "?= 192
\n" ); document.write( "?= y + z
\n" ); document.write( "?= 3z
\n" ); document.write( "

Algebra.Com's Answer #343527 by stanbon(75887)\"\" \"About 
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Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting of x one-bedroom units, y two-bedroom townhouses, and z three-bedroom townhouses.
\n" ); document.write( "--------------------------------------
\n" ); document.write( "A total of 192 units are planned, and
\n" ); document.write( "-------------------
\n" ); document.write( "the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units.
\n" ); document.write( "---------------------
\n" ); document.write( "If the number of one-bedroom units will be 3 times the number of three-bedroom units, find how many units of each type will be in the complex.
\n" ); document.write( "----------------
\n" ); document.write( "x + y + z = 192 units
\n" ); document.write( "y+z = x
\n" ); document.write( "x = 3z
\n" ); document.write( "----
\n" ); document.write( "Rearrange:
\n" ); document.write( "x + y + z = 192
\n" ); document.write( "x - y - z = 0
\n" ); document.write( "x + 0 -3z = 0
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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