document.write( "Question 667707: A man invested part of Php 15,000 at 12 percent and the remainder at 8 percent. If his annual income from the investment is Php 1,456, How much does he have invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #415137 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Part I 8.00% per annum ------------- Amount invested =x \n" ); document.write( "Part II 12.00% per annum ------------ Amount invested = y = \n" ); document.write( " 15000 \n" ); document.write( "Interest----- 1456 \n" ); document.write( " \n" ); document.write( "Part I 8.00% per annum ---x \n" ); document.write( "Part II 12.00% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 15000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "8.00% x + 12.00% y= 1456 \n" ); document.write( "Multiply by 2 \n" ); document.write( "8 x + 12 y= 145600.00 --------2 \n" ); document.write( "Multiply (1) by -8 \n" ); document.write( "we get \n" ); document.write( "-8 x -8 y= -120000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 4 y= 25600 \n" ); document.write( "divide by 4 \n" ); document.write( " y = 6400 \n" ); document.write( "Part I 8.00% php 8600 \n" ); document.write( "Part II 12.00% php 6400 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "8600 --------- 8.00% ------- 688.00 \n" ); document.write( "6400 ------------- 12.00% ------- 768.00 \n" ); document.write( "Total -------------------- 1456.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |