document.write( "Question 766124: A man gave two fifths of his paycheck to his wife and spent half of the remainder. If he had $300 left, how much money was his original paycheck? \n" ); document.write( "
Algebra.Com's Answer #466678 by subudear(62)![]() ![]() ![]() You can put this solution on YOUR website! Lets assume man had $X in total\r \n" ); document.write( "\n" ); document.write( "now the man gave two fifths of his paycheck to his wife, which means (2/5)X is given away. How much is left\r \n" ); document.write( "\n" ); document.write( "X - (2/5)X = (3/5)X\r \n" ); document.write( "\n" ); document.write( "Man is left with (3/5)X\r \n" ); document.write( "\n" ); document.write( "Now its given that he spent half of this left over, which means (1/2)*(3/5)X \n" ); document.write( "So man is left with\r \n" ); document.write( "\n" ); document.write( "=(3/5)X - (1/2)*(3/5)X \n" ); document.write( "=(3/5)X - (3/10)X \n" ); document.write( "=(3/10)X\r \n" ); document.write( "\n" ); document.write( "now its given that he is left with $300 which means \r \n" ); document.write( "\n" ); document.write( "300 = (3/10)X\r \n" ); document.write( "\n" ); document.write( "X = 1000\r \n" ); document.write( "\n" ); document.write( "so Man had $1000 initially. \n" ); document.write( " |