document.write( "Question 875340: cindy has $20,000 to invest. A part of this money is invested in bonds paying 10% annual interest. The rest of the money is invested in a savings account giving 5% annual interest. At the end of the year, she received $1,600 as an extra income. How much money did Cindy place in each investment? \n" ); document.write( "
Algebra.Com's Answer #528110 by mananth(16946)\"\" \"About 
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Part I 10.00% per annum ------------- Amount invested =x
\n" ); document.write( "Part II 5.00% per annum ------------ Amount invested = y
\n" ); document.write( " 20000
\n" ); document.write( "Interest----- 1600.00
\n" ); document.write( "
\n" ); document.write( "Part I 10.00% per annum ---x
\n" ); document.write( "Part II 5.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + 1 y= 20000 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "10.00% x + 5.00% y= 1600
\n" ); document.write( "Multiply by 100
\n" ); document.write( "10 x + 5 y= 160000.00 --------2
\n" ); document.write( "Multiply (1) by -10
\n" ); document.write( "we get
\n" ); document.write( "-10 x -10 y= -200000.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x -5 y= -40000
\n" ); document.write( "divide by -5
\n" ); document.write( " y = 8000
\n" ); document.write( "Part I 10.00% $ 12000
\n" ); document.write( "Part II 5.00% $ 8000
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\n" ); document.write( "CHECK
\n" ); document.write( "12000 --------- 10.00% ------- 1200.00
\n" ); document.write( "8000 ------------- 5.00% ------- 400.00
\n" ); document.write( "Total -------------------- 1600.00
\n" ); document.write( "
\n" ); document.write( "m.ananth@hotmail.ca
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