document.write( "Question 717147: $5900 is invested, part at 10% and part of it at 8%. For a certain year, the total yield $ 534.00. How much was invested at 10% and at 8%? \r
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document.write( "ive tried substitution method but keep getting wrong answer:( \n" );
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Algebra.Com's Answer #440242 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! $5900 is invested, part at 10% and part of it at 8%. \n" ); document.write( " For a certain year, the total yield $ 534.00. \n" ); document.write( " How much was invested at 10% and at 8%? \n" ); document.write( ": \n" ); document.write( "let x = amt invested at 10% \n" ); document.write( "let y = amt at 8% \n" ); document.write( ": \n" ); document.write( "Two equations \n" ); document.write( ": \n" ); document.write( "Total amt \n" ); document.write( "x + y = 5900 \n" ); document.write( "y = (5900-x) \n" ); document.write( ": \n" ); document.write( "and total interest \n" ); document.write( ".10x + .08y = 534 \n" ); document.write( ": \n" ); document.write( "In the above equation, substitute (5900-x) for y \n" ); document.write( ".10x + .08(5900-x) = 534 \n" ); document.write( ".10x + 472 - .08x = 534 \n" ); document.write( ".10x - .08x = 534 - 472 \n" ); document.write( ".02x = 62 \n" ); document.write( "x = 62/.02 \n" ); document.write( "x = $3100 invested at 10% \n" ); document.write( ": \n" ); document.write( "You can find the amt invested at 8% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check your solutions by finding the total interest from these amts \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |