document.write( "Question 1185405: If 8 1/3% of a sum of money is $75, then the total sum of money is? \n" ); document.write( "
Algebra.Com's Answer #816215 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x = the money.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(8 and 1/3)% is equal to (25/3)%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is (25/3)% * x = 75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since (25/3)% is equal to (25/3)/100, then your equation becomes (25/3)/100 * x = 75.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by 100 to get (25/3) * x = 7500.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equa tion by (3/25) to get x = (3/25) * 7500 = 900.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since (25/3)/100 is equal to 25/300, you could also have done...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(25/3)/100 * x = 75 becomes 25/300 * x = 75.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by 300/25 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 75 * 300/25 = 900.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x% is equal to x/100.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "therefore (25/3)% is equal to (25/3)/100 which is equal to 25/300.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is that the sum of money is equal to 900 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(8 + 1/3)% times 900 = (25/3)% * 900 = 25/300 * 900 = 75.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |