document.write( "Question 324054: A college student earned $5100 during summer break. He invested all the money. Part of the money he invested at 8% and the rest at 6%. He earned a total of $362.00 in interest. How much did he invest at 8% and how much did he invest at 6%? \n" ); document.write( "
Algebra.Com's Answer #231912 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A college student earned $5100 during summer break. He invested all the money. Part of the money he invested at 8% and the rest at 6%. He earned a total of $362.00 in interest. How much did he invest at 8% and how much did he invest at 6%? \n" ); document.write( "----- \n" ); document.write( "Quantity Eq: x + y = 5100 \n" ); document.write( "Interest Eq:0.08x + 0.06y = 362 \n" ); document.write( "------------------------ \n" ); document.write( "Multiply thru the 1st by 8 \n" ); document.write( "Multiply thru the 2nd by 100 \n" ); document.write( "8x + 8y = 8*5100 \n" ); document.write( "8x + 6y = 36200 \n" ); document.write( "------------------- \n" ); document.write( "Subtract the 2nd from the 1st and solve for \"y\": \n" ); document.write( "2y = 4600 \n" ); document.write( "y = $2300 (amt. invested at 6% \n" ); document.write( "--- \n" ); document.write( "Since x+y = 5100, x = 5100-2300 = $2800 (amt. invested at 8% \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |