document.write( "Question 466849: Hello,
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document.write( "I have a question I need help with. Your time is appreciated.
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document.write( "A college student earned $5500 during summer vacation working as a waiter in a popular restaurant. The student invested part of the money at 9% and the rest at 7%. If the student received a total of $429 in interest at the end of the year, how much was invested at 9%?
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document.write( "Thank you \n" );
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Algebra.Com's Answer #320195 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A college student earned $5500 during summer vacation working as a waiter in a popular restaurant. \n" ); document.write( "The student invested part of the money at 9% and the rest at 7%. \n" ); document.write( "If the student received a total of $429 in interest at the end of the year, how much was invested at 9%? \n" ); document.write( "--- \n" ); document.write( "Using 2 variables you get 2 equations: \n" ); document.write( "n + s = 5500 dollars \n" ); document.write( "--- \n" ); document.write( "0.09n + 0.07s = 429 dollars \n" ); document.write( "----- \n" ); document.write( "Multiply thru the 1st equation by 7 \n" ); document.write( "Multiply thru the 2nd equation by 100 \n" ); document.write( "----- \n" ); document.write( "7n + 7s = 7*5500 \n" ); document.write( "9n + 7s = 42900 \n" ); document.write( "------------------- \n" ); document.write( "Subtract and solve for \"n\": \n" ); document.write( "2n = 4400 \n" ); document.write( "n = $2200 (amt invested at 9%) \n" ); document.write( "================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |