document.write( "Question 491313: Gloria invested 60,000 pesos for 1 year, part at 9% and part at 4 1/2% simple interest. if the accounts earn 3,438.75 total interest, how much was invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #334591 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Investment I 9.00% per annum ---x \n" ); document.write( "Investment II 4.50% per annum ---y \n" ); document.write( " \n" ); document.write( "x + y= 60000 ------------------------1 \n" ); document.write( "9.00% x + 4.50% y = $3,438.75 \n" ); document.write( "Multiply by 100 \n" ); document.write( "9 x + 4.5 y = $343,875.00 \n" ); document.write( " \n" ); document.write( "Multiply (1) by -9 \n" ); document.write( "we get \n" ); document.write( " \n" ); document.write( "-9 x -9 y = -540000.00 \n" ); document.write( " \n" ); document.write( "Add this to (2) \n" ); document.write( " \n" ); document.write( "0 x -4.5 y = -$196,125.00 \n" ); document.write( " \n" ); document.write( "divide by -4.5 \n" ); document.write( " \n" ); document.write( " y = $43,583.33 \n" ); document.write( "Balance $16,416.67 \n" ); document.write( "CHECK \n" ); document.write( "$16,416.67 $1,477.50 \n" ); document.write( "$43,583.33 $1,961.25 \n" ); document.write( "Total $3,438.75 \n" ); document.write( " \n" ); document.write( " |