document.write( "Question 385766: Of the $50,000 that Natasha pocketed
\n" );
document.write( "on her last real estate deal, $20,000 went to charity. She
\n" );
document.write( "invested part of the remainder in Dreyfus New Leaders Fund
\n" );
document.write( "with an annual yield of 16% and the rest in Templeton
\n" );
document.write( "Growth Fund with an annual yield of 25%. If she made
\n" );
document.write( "$6060 on these investments in 1 year, then how much did she
\n" );
document.write( "invest in each fund?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #272869 by stanbon(75887) ![]() You can put this solution on YOUR website! Of the $50,000 that Natasha pocketed \n" ); document.write( "on her last real estate deal, $20,000 went to charity. \n" ); document.write( "------------------------- \n" ); document.write( "She invested part of the remainder in Dreyfus New Leaders Fund \n" ); document.write( "with an annual yield of 16% and the rest in Templeton \n" ); document.write( "Growth Fund with an annual yield of 25%. If she made \n" ); document.write( "$6060 on these investments in 1 year, then how much did she \n" ); document.write( "invest in each fund? \n" ); document.write( "----- \n" ); document.write( "Equations: \n" ); document.write( "Quantity Eq::: x + y = 30000 \n" ); document.write( "Interest Eq::: 0.16x+0.25y = 6060 \n" ); document.write( "--- \n" ); document.write( "Multiply the Quantity Eq. by 16 \n" ); document.write( "Multiply the Interest Eq. by 100 \n" ); document.write( "---------------------------- \n" ); document.write( "16x + 16y = 16*30000 \n" ); document.write( "16x + 25y = 606000 \n" ); document.write( "------------------------ \n" ); document.write( "Subtract and solve for \"y\": \n" ); document.write( "9y = 126000 \n" ); document.write( "---- \n" ); document.write( "y = $14000 (amt. invested at 25% \n" ); document.write( "--- \n" ); document.write( "Since x+y= 30000, x = $16000 (amt. invested at 16%) \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( " |