document.write( "Question 1152349: A woman has a total of $12,000 to invest. She invests part of the money in an account that pays 6% per year and the rest in an account that pays 8% per year. If the interest earned in the first year is $820, how much did she invest in each account?\r
\n" ); document.write( "\n" ); document.write( "She invested $ at 6% and $ at 8%.
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Algebra.Com's Answer #774355 by ankor@dixie-net.com(22740)\"\" \"About 
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A woman has a total of $12,000 to invest.
\n" ); document.write( " She invests part of the money in an account that pays 6% per year and the rest in an account that pays 8% per year.
\n" ); document.write( " If the interest earned in the first year is $820, how much did she invest in each account?
\n" ); document.write( ":
\n" ); document.write( "let a = amt invested at 8%
\n" ); document.write( "the total is 12000, therefore
\n" ); document.write( "(12000-a) = amt invested at 6%
\n" ); document.write( ":
\n" ); document.write( ".08a + .06(12000-a) = 820
\n" ); document.write( ".08a + 720 - .06a = 820
\n" ); document.write( ".08a - .06a = 820 - 720
\n" ); document.write( ".02a = 100
\n" ); document.write( "a = 100/.02
\n" ); document.write( "a = $5000 invested at 8%
\n" ); document.write( "then
\n" ); document.write( "12000 - 5000 = $7000 invested at 6%
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\n" ); document.write( "Check the amt of interest of each
\n" ); document.write( ".08(5000) = 400
\n" ); document.write( ".06(7000) = 420
\n" ); document.write( "----------------
\n" ); document.write( "total int: 820\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "She invested $7000 at 6% and $5000 at 8%.
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