document.write( "Question 1173931: Dana borrowed $8000. She borrowed part of the money from a bank that charged 14% /a interest. She borrowed the remainder from her uncle who charged her 5% /a interest. After 1 year Dana needed a total of 8850 to repay both loans. How much did she borrow from each source. \n" ); document.write( "
Algebra.Com's Answer #799330 by ankor@dixie-net.com(22740)\"\" \"About 
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Dana borrowed $8000.
\n" ); document.write( " She borrowed part of the money from a bank that charged 14% /a interest.
\n" ); document.write( " She borrowed the remainder from her uncle who charged her 5% /a interest.
\n" ); document.write( " After 1 year Dana needed a total of 8850 to repay both loans.
\n" ); document.write( " How much did she borrow from each source.
\n" ); document.write( ":
\n" ); document.write( "Let x = amt borrowed from the bank
\n" ); document.write( "total borrowed was 8000, therefore:
\n" ); document.write( "(8000-x) = amt borrowed from uncle
\n" ); document.write( ":
\n" ); document.write( "8850 - 8000 = 850 was the total interest
\n" ); document.write( ":
\n" ); document.write( "Total interest equation
\n" ); document.write( ".14x + .05(8000-x) = 850
\n" ); document.write( ".14x + 400 - .05x = 850
\n" ); document.write( ".14x - .05x = 850 - 400
\n" ); document.write( ".09x = 450
\n" ); document.write( "x = 450/.09
\n" ); document.write( "x = $5000 borrowed from the bank
\n" ); document.write( "then, obviously;
\n" ); document.write( "8000 - 5000 = $3000 from the uncle
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Confirm this, find the total of the actual amts
\n" ); document.write( ".14(5000) = $700
\n" ); document.write( ".05(3000) = $150
\n" ); document.write( "-----------------
\n" ); document.write( "total int: $850 \n" ); document.write( "
\n" );