document.write( "Question 1093769: In his will, a man left his older son $5,000 more than twice as much as he left his younger son. If the estate is worth $700,000, how much did the younger son get? \n" ); document.write( "
Algebra.Com's Answer #708558 by Theo(13342)![]() ![]() You can put this solution on YOUR website! if you let x represent what he left the younger son, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 5000 represents what he left the older son.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the sum must be equal to 700,000, so x + 2x + 5000 = 700,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms and subtract 5000 from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x = 695,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x to get x = 695,000 / 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the oldest son gets 2 times that plus 5000, so the oldest son gets 2 * 695,000 / 3 + 5000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "put everything under a common denominator and the oldest son gets (2 * 695000 + 15000) / 3 which results in 1,405,000 / 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "digitize both results and the youngest son gets 231,666.666... and the oldest son gets 468,333.333....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "round your answer to the nearest penny and the youngest son gets 231,666.67 and the oldest son gets 468,333.33.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is the younger son gets 231,666.67 rounded to the nearest penny.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |