document.write( "Question 596025: how many 2/3 acres lots can fill a 9 3/4 acres of land? \n" ); document.write( "
Algebra.Com's Answer #377437 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let x = # of lots\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If each lot is 2/3 of an acre, then x lots will be total of (2/3)x acres\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We want this to be 9 3/4, so...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2/3)x = 9 3/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2/3)x = 9 + 3/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2/3)x = 36/4 + 3/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2/3)x = 39/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x = 3*(39/4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x = 117/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (117/4)/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (117/4)*(1/2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 117/8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (112 + 5)/8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 112/8 + 5/8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 14 + 5/8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 14 5/8\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So you need 14 5/8 lots, but you can only have a whole number of lots. So round down to get the final answer of 14 lots. \n" ); document.write( " |