document.write( "Question 6773: a college student earned $8800 working as a waiter. the student invested some of the money at 7% and the rest at 6%, if the student recieved a total of $560 in interest at the end of the year, how much was invested at 7%?\r
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document.write( "This is the formula I used: principal multiplied by rate = interest OR x(.07) = .07x then I added 8800 - x(.06) = 560 which showed as:\r
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document.write( ".07x + 8800 - x(.06) = 560\r
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document.write( "I tried to solve for x and got 8240. I know I'm doing something wrong. can you help?
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document.write( "Sandy \n" );
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Algebra.Com's Answer #3732 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Well, you started out ok but when you got to the line: 8800 - x(.06) = 560, this is where your mistake lies.\r \n" ); document.write( "\n" ); document.write( "It should have been: (8800 - x)(.06) This is 6% of the total amount minus that invested at 7% \n" ); document.write( "So, you should have: \n" ); document.write( " .07x + (8800 - x)(.06) = 560 Solve for x. \n" ); document.write( ".07x + (.06)(8800) - .06x = 560 Simplify. \n" ); document.write( ".07x - .06x + 528 = 560 \n" ); document.write( "0.1x = 32 \n" ); document.write( "x = $3200 The amount invested at 7% \n" ); document.write( " \n" ); document.write( " |