document.write( "Question 515509: Hi..trying to help my son on his homework, and running into a bit of a wall on this one. I can intuit my way to the correct answer, but can't show how to get there algebraically.\r
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document.write( "\"Samantha invested her $10,000 savings at two different banks for one year. She put part of the money in Bank A which paid 8% interest. The rest of the money was invested at 7% at Bank B.At the end of the year she had accumulated $735 in interest. How much money did she invest at Bank A? Hint:7% interest on an unknown amount of money is .07n.\"\r
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document.write( "I can get the answer (6500$ at 7%, %3500 at 8%), but I can't see how to write out the equation. Any help you can provide would be greatly appreciated, as we've spent three hours on this assignment already! :) Thank you again, we both greatly appreciate any time you give us!!!\r
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document.write( "-greg and gabe scott \n" );
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Algebra.Com's Answer #344009 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Samantha invested her $10,000 savings at two different banks for one year. She put part of the money in Bank A which paid 8% interest. The rest of the money was invested at 7% at Bank B.At the end of the year she had accumulated $735 in interest. How much money did she invest at Bank A? \n" ); document.write( "----- \n" ); document.write( "Using one variable. \n" ); document.write( "--- \n" ); document.write( "Interest Equation: \n" ); document.write( "Interest + Interest = Interest \n" ); document.write( "0.08x + 0.07(10,000-x) = 735 \n" ); document.write( "------------------------------------------------- \n" ); document.write( "Multiply thru by 100 to get: \n" ); document.write( "8x + 7*10,000 - 7x = 73500 \n" ); document.write( "---- \n" ); document.write( "x = 73500-70,000 \n" ); document.write( "x = $3500 (Amount invested at Bank A) \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================== \n" ); document.write( " \n" ); document.write( " |