document.write( "Question 1154013: Mr. Jones has $16,000 to invest. He invests part at 9% and the rest at 10%. If he earns $1,510 in interest after 1 year, how much did he invest at each rate? \n" ); document.write( "
Algebra.Com's Answer #776366 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Investment I 9.00% per annum $x \n" ); document.write( " Investment II 10.00% per annum $y \n" ); document.write( " \n" ); document.write( " x + y 16000 ------------------------1 \n" ); document.write( " 9.00% x + 10.00% y = 1510 \n" ); document.write( " Multiply by 100 \n" ); document.write( " 9 x + 10 y = 151000 --------2 \n" ); document.write( " \n" ); document.write( " Multiply (1) by -10 \n" ); document.write( " we get \n" ); document.write( " \n" ); document.write( " -10 x -10 y = -160000.00 \n" ); document.write( " \n" ); document.write( " Add this to (2) \n" ); document.write( " \n" ); document.write( " -1 x+ 0 y = -9000.00 \n" ); document.write( " \n" ); document.write( " divide by -1 \n" ); document.write( " \n" ); document.write( " x = 9000 investment at 9% \n" ); document.write( " Balance 7000 investment at 10% \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "CHECK Interest \n" ); document.write( " 9000 810 \n" ); document.write( " 7000 700 \n" ); document.write( " Total 1510 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |