document.write( "Question 1036937: Paul has $80,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 6% interest and part at 18% interest. How much does Paul need to invest in each option to make a total 15% return on his $80,000? \r
\n" ); document.write( "\n" ); document.write( "6% interest $ \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "18% interest $
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #651630 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Paul has $80,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 6% interest and part at 18% interest. How much does Paul need to invest in each option to make a total 15% return on his $80,000?
\n" ); document.write( "Quantity:: s + e = 80,000
\n" ); document.write( "Interest:: 0.06s + 0.18e = 0.15*80,000
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Modify for elimination:
\n" ); document.write( "6s + 6e = 6*80,000
\n" ); document.write( "6s + 18e = 15*80,000
\n" ); document.write( "--------------------------
\n" ); document.write( "Subtract and solve for \"e\":
\n" ); document.write( "12e = 9*80,000
\n" ); document.write( "e = (3/4)(80,000)
\n" ); document.write( "e = $60,000 (amt. to invest at 18%)
\n" ); document.write( "---------------
\n" ); document.write( "Solve for \"s\"
\n" ); document.write( "s = 80,000 - e = 80,000-60,000 = $20,000 (amt. to invest at 6%)
\n" ); document.write( "--------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "-------------
\n" ); document.write( "
\n" );