document.write( "Question 756649: Laurie invested some money at 12% and some more at 14%. She invested $50,000,000 more at 14% than shed did at 12%. Her total yearly interest from the two investments is $13,500,000. How much did she invest at each rate? \n" ); document.write( "

Algebra.Com's Answer #460363 by nerdybill(7384) $\"\"$ $\"About$

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Laurie invested some money at 12% and some more at 14%. She invested $50,000,000 more at 14% than shed did at 12%. Her total yearly interest from the two investments is $13,500,000. How much did she invest at each rate?
\n" ); document.write( ".
\n" ); document.write( "Let x = amount ($) invested at 12%
\n" ); document.write( "then
\n" ); document.write( "x+50000000 = amount ($) invested at 14%
\n" ); document.write( ".
\n" ); document.write( ".12x + .14(x+50000000) = 13500000
\n" ); document.write( ".12x + .14x+7000000 = 13500000
\n" ); document.write( ".26x = 6500000
\n" ); document.write( "x = 6500000/.26
\n" ); document.write( "x = $25,000,000 (invested at 12%)
\n" ); document.write( ".
\n" ); document.write( "amount invested at 14%:
\n" ); document.write( "x+50000000 = 25000000+50000000 = $75,000,000
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