document.write( "Question 470602: a total of $12000 is invested in two stocks of, one of which returns 8% per year and the other 12% per year. How much has been invested in each stock if the income from the 8% stock is 3$ more than the income from the 12% stock?\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #322783 by mananth(16946) You can put this solution on YOUR website! Part I 8.00% per annum ------------- x \n" ); document.write( "Part II 12.00% per annum ------------ y \n" ); document.write( " total investment 12000 \n" ); document.write( " Interest-----= 8.00% x \n" ); document.write( " Interest-----= 12.00% y \n" ); document.write( " greater by 5 \n" ); document.write( " 8.00% x = 12.00% y + 5 \n" ); document.write( " multiply by 100 \n" ); document.write( " 8 x - -12 y = 500 --------1 \n" ); document.write( "x + y = 12000 -------- 2 \n" ); document.write( "eliminate y \n" ); document.write( "Multiply 1 by 1 \n" ); document.write( "Multiply 2 by -12 \n" ); document.write( "we get \n" ); document.write( "8 x +12 y = 500 \n" ); document.write( "-12 x-12 y = -144000 \n" ); document.write( "-4 x= -143500 \n" ); document.write( "/ -4 \n" ); document.write( " x= 35875 \n" ); document.write( "Plug the value of x in in 1 \n" ); document.write( "287000 -12 y = 500 \n" ); document.write( " -12 y = 500 -287000 \n" ); document.write( " -12 y = -286500 \n" ); document.write( " / -12 \n" ); document.write( " y= 23875 \n" ); document.write( "$ 35875 at 8.00% \n" ); document.write( "$ 23875 at 12.00% \n" ); document.write( " \n" ); document.write( " |