document.write( "Question 239280: Little Johnny invested $10,000. He put part of it in a bank at 5 percent interest. He put the remainder in bonds which pay a 9 percent annual return. How much did he invest in each method (savings bank and bond) if his annual income from the two investments was $660? \n" ); document.write( "
Algebra.Com's Answer #175698 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Little Johnny invested $10,000. He put part of it in a bank at 5 percent interest. He put the remainder in bonds which pay a 9 percent annual return. How much did he invest in each method (savings bank and bond) if his annual income from the two investments was $660? \n" ); document.write( "------------------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "Quantity Eq::: x + y = 10000 \n" ); document.write( "Interest Eq::0.05x+0.09y = 660 \n" ); document.write( "------------------------ \n" ); document.write( "Multiply thru the 1st equation by 5: \n" ); document.write( "Multiply thru the 2nd equation by 100: \n" ); document.write( "5x + 5y = 50000 \n" ); document.write( "5x + 9y = 66000 \n" ); document.write( "-------------------- \n" ); document.write( "Subtract the 1st from the 2nd and solve for \"y\": \n" ); document.write( "4y = 16000 \n" ); document.write( "y = $4000 (amount invested at 5%) \n" ); document.write( "--- \n" ); document.write( "Since x+y = 10000, x = $6000 (amount invested at 9%) \n" ); document.write( "========================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |