document.write( "Question 1132317: Diana used 1/3 of his salary for food and keep 1/4 of remaining as saving. After that 50% of the remaining is used to pay rent. determine what fraction of his salary is left. \n" ); document.write( "
Algebra.Com's Answer #749327 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x represent the salary.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/3 * x is used for food.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - 1/3 * x = 3/3 * x - 1/3 * x = 2/3 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2/3 * x remains.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/4 * 2/3 * x = 2/12 * x = 1/6 * x is used for saving.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2/3 * x - 1/6 * x = 4/6 * x - 1/6 * x = 3/6 * x = 1/2 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/2 * x remains.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/2 * 1/2 * x = 1/4 * x is used for rent.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/2 * x - 1/4 * x = 2/4 * x - 1/4 * x = 1/4 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/4 * x remains.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to summarize:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/3 * x is used for food. \n" ); document.write( "1/6 * x is used for saving. \n" ); document.write( "1/4 * x is used for rent. \n" ); document.write( "1/4 * x remains.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/3 * x + 1/6 * x + 1/4 * x + 1/4 * x equals 4/12 * x + 2/12 * x + 3/12 * x + 3/12 * x which is equal to 12/12 * x which is equal to x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "all salary is accounted for.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |