document.write( "Question 809858: A total of $7100 was invested as follows: a certain amount at 7%, twice that amount at 10%, and the remainder at 12%. If the annual interest from the three investments was $699, how much was invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #487810 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A total of $7100 was invested .\r \n" ); document.write( "\n" ); document.write( " a certain amount at 7%,-----------x \n" ); document.write( " twice that amount at 10%,----------2x \n" ); document.write( "the remainder at 12%. ---------------(7100-3x) \n" ); document.write( "annual interest from the three investments = $699\r \n" ); document.write( "\n" ); document.write( "7%x+10%*2x+12%*(7100-3x)=699\r \n" ); document.write( "\n" ); document.write( "multiply by 100 \n" ); document.write( "7x+20x+12(7100-3x)=699\r \n" ); document.write( "\n" ); document.write( "7x+20x+85200-36x=699\r \n" ); document.write( "\n" ); document.write( "27x-36x=699-85200\r \n" ); document.write( "\n" ); document.write( "-9x=-84501\r \n" ); document.write( "\n" ); document.write( "/-9 \n" ); document.write( "x=9389\r \n" ); document.write( "\n" ); document.write( "amount at 7%,-----------$9389 \n" ); document.write( " twice that amount at 10%,----------2x---------------$18778 \n" ); document.write( "the remainder at 12%. --------------- Balance \n" ); document.write( " |