document.write( "Question 260563: Ashley won $5000 in a contest. She invested some of the money at 5% simple interest and $400 less than twice that amount at 6.5%. In one year, she earned $298 in interest. How much did she invest at each rate? \n" ); document.write( "
Algebra.Com's Answer #191925 by onlinetutor365.com(14)![]() ![]() You can put this solution on YOUR website! Let x = the amount of money invested at 5% simple interest \n" ); document.write( " Then, 2x – 400 invested at 6.5%\r \n" ); document.write( "\n" ); document.write( " Then we have \n" ); document.write( " 5%x + 6.5%(2x – 400) = 298 \n" ); document.write( " 5x + 65(2x – 400) = 29800 \n" ); document.write( " 50x + 130x – 2600 = 29800E \n" ); document.write( " 180x = 32400 \n" ); document.write( " x = 180\r \n" ); document.write( "\n" ); document.write( " and 2x -400 = 2(1800) – 400 = 3200 \n" ); document.write( " \n" ); document.write( " |