document.write( "Question 907674: John had $30,000. He invested part of his money in bonds paying 12% annual simple interest and the rest into a savings account giving 4% annual interest. At the end of the year he received $2,400 as extra income. How much did John place in each investment? \n" ); document.write( "
Algebra.Com's Answer #550484 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Bonds 12.00% per annum ------------- Amount invested =x \n" ); document.write( "Savings 4.00% per annum ------------ Amount invested = y \n" ); document.write( " 20000 \n" ); document.write( "Interest----- 740.00 \n" ); document.write( " \n" ); document.write( "Bonds 12.00% per annum ---x \n" ); document.write( "Savings 4.00% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 20000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "12.00% x + 4.00% y= 740 \n" ); document.write( "Multiply by 100 \n" ); document.write( "12 x + 4 y= 74000.00 --------2 \n" ); document.write( "Multiply (1) by -12 \n" ); document.write( "we get \n" ); document.write( "-12 x -12 y= -240000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x -8 y= -166000 \n" ); document.write( "divide by -8 \n" ); document.write( " y = 20750 \n" ); document.write( "Bonds 12.00% $ -750 \n" ); document.write( "Savings 4.00% $ 20750 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "-750 --------- 12.00% ------- -90.00 \n" ); document.write( "20750 ------------- 4.00% ------- 830.00 \n" ); document.write( "Total -------------------- 740.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |