document.write( "Question 314779: 1. Sam invested some money at 7% and then invested $4,000 more than twice this amount at 9%. His total annual income from the two investments was $2,860. How much was invested at 9%?\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "2. How many liters of a 10% alcohol soultion must be mixed with 30 liters of a 40% solution to get a 20% solution? \n" );
document.write( "
Algebra.Com's Answer #225122 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Sam invested some money at 7% and then invested $4,000 more than twice this amount at 9%. His total annual income from the two investments was $2,860. How much was invested at 9%? \n" ); document.write( "--- \n" ); document.write( "0.07x + 0.09(2x+4000) = 2850 \n" ); document.write( "Multiply thru by 100 to get: \n" ); document.write( "7x + 18x + 36000 = 285000 \n" ); document.write( "25x = 249000 \n" ); document.write( "x = $9960 (amt invested at 7%) \n" ); document.write( "2x+4000 = 2*9960+4000 = $23,920 (amt. invested at 9% \n" ); document.write( "======================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2. How many liters of a 10% alcohol solution must be mixed with 30 liters of a 40% solution to get a 20% solution? \n" ); document.write( "--- \n" ); document.write( "alcohol + alcohol = alcohol \n" ); document.write( "0.10x + 0.40*30 = 0.20(x+30) \n" ); document.write( "Multiply thru by 100 to get: \n" ); document.write( "10x + 40*30 = 20x + 20*30 \n" ); document.write( "10x = 20*30 \n" ); document.write( "x = 60 liters (amt. of 10% solution needed for the mixture) \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========================== \n" ); document.write( " \n" ); document.write( " |