document.write( "Question 644527: Evelyn and Eleanor worked a total of 36 hours. If Evelyn worked 10 hours longer than Eleanor, how many hours did each woman work? \n" ); document.write( "
Algebra.Com's Answer #405084 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let x = Evelyn's hours and y = Eleanor's hours\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"Evelyn and Eleanor worked a total of 36 hours\" ---> x+y = 36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"Evelyn worked 10 hours longer than Eleanor\" ---> x = y+10\r \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "x+y = 36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(y+10)+y = 36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y+10+y = 36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y+10 = 36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y = 36-10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y = 26\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 26/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = y+10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 13+10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 23\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So Evelyn worked 23 hours and Eleanor worked 13 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------------------------------------------------------------- \n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( "-------------------------------------------------------------------------------------------------------------- \n" ); document.write( " \n" ); document.write( " |