document.write( "Question 320229: Lee invests $10,000 in stocks and bonds. The stocks return 15% a year and the bonds return 10% a year. If the total return on the investment after one year is $1,100, how much did Lee invest each in stocks and bonds? \n" ); document.write( "
Algebra.Com's Answer #229346 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Lee invests $10,000 in stocks and bonds. The stocks return 15% a year and the bonds return 10% a year. If the total return on the investment after one year is $1,100, how much did Lee invest each in stocks and bonds? \n" ); document.write( "-------------- \n" ); document.write( "Quantity Equation: s + b = 10,000 \n" ); document.write( "Interest Equation:0.15s + 0.10b = 1100 \n" ); document.write( "------------------------------------------------ \n" ); document.write( "Multiply thru 1st by 15; \n" ); document.write( "Multiply thru 2nd by 100: \n" ); document.write( "------------------------------- \n" ); document.write( "15s + 15b = 15*10,000 \n" ); document.write( "15s + 10b = 110000 \n" ); document.write( "---------------------------- \n" ); document.write( "Subtract 2nd from 1st and solve for \"b\": \n" ); document.write( "5b = 40,000 \n" ); document.write( "b = $8000 (amt. invested in bonds) \n" ); document.write( "--- \n" ); document.write( "Since s + b = 10,000, s = $2000 (amt. invested in stocks) \n" ); document.write( "================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " |