document.write( "Question 1184183: While taking a 4 week holiday, Sarah received a payment of $2444 which represented her holiday loading (17.5%) plus her usual pay over the 4 weeks. Calculate her yearly salary (excluding the 17.5% holiday loading). \n" ); document.write( "
Algebra.Com's Answer #815061 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the pay for the 4 week period = 2444 * 1.175 * x, where x is her usual pay for the 4 week period. \n" ); document.write( "solve for x to get x = 2444 / 1.175 = 2080 for the 4 week period. \n" ); document.write( "there are 52 weeks in a year. \n" ); document.write( "52 / 4 = 13 four week periods. \n" ); document.write( "13 * 2080 = a yearly salary of 27040 that doesn't include the holiday loading.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "17.5% holiday loading means her regular salary for the 4 week period plus 17.5% of her regular salary for the 4 week period that is added on for the holiday.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = the regular 4 week salary. \n" ); document.write( "x + .175 * x = 2444 = the regular 4 week salary plus the holiday loading. \n" ); document.write( "factor out the x to get x * (1 + .175) = 2444 \n" ); document.write( "simplify to get 1.175 * x = 2444 \n" ); document.write( "solve for x to get x = 2444/1.175 = 2080. \n" ); document.write( "52 weeks in the year / 4 weeks in the salary period = 52/4 = 13 four week salary periods in the year. \n" ); document.write( "13 * 2080 = 27040 yearly salary.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |