document.write( "Question 632773: a woman has some stocks that yield 5% annually and some bonds that yield 10%. If her investment totals $6000 and her annual income from the investment is $400, how much does she have invested in stocks and how much in bonds? \n" ); document.write( "
Algebra.Com's Answer #398506 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Stocks 5.00% per annum ------------- Amount invested =x \n" ); document.write( "Bonds 10.00% per annum ------------ Amount invested = y \n" ); document.write( " 6000 \n" ); document.write( "Interest----- 400 \n" ); document.write( " \n" ); document.write( "Stocks 5.00% per annum ---x \n" ); document.write( "Bonds 10.00% per annum ---y \n" ); document.write( "Credit on both cards \n" ); document.write( "x + 1 y= 6000 -------------1 \n" ); document.write( "Interestto be paid on both \n" ); document.write( "5.00% x + 10.00% y= 400 \n" ); document.write( "Multiply by 100 \n" ); document.write( "5 x + 10 y= 40000.00 --------2 \n" ); document.write( "Multiply (1) by -5 \n" ); document.write( "we get \n" ); document.write( "-5 x -5 y= -30000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 5 y= 10000 \n" ); document.write( "divide by 5 \n" ); document.write( " y = 2000 \n" ); document.write( "Stocks 5.00% $ 4000 \n" ); document.write( "Bonds 10.00% $ 2000 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "4000 --------- 5.00% ------- 200.00 \n" ); document.write( "2000 ------------- 10.00% ------- 200.00 \n" ); document.write( "Total -------------------- 400.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |