document.write( "Question 864854: Shari wishes to place part of $ 12000 into a savings account earning 8 % simple interest and part into a savings account earning 7.25 % simple interest. The amount deposited at 8 % is half the amount that is deposited at 7.25 %. How much should she invest in each if she wishes to earn $ 900 in interest for the year? \n" ); document.write( "
Algebra.Com's Answer #521329 by mananth(16946)\"\" \"About 
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Part I 7.25% per annum ------------- Amount invested =x
\n" ); document.write( "Part II 8.00% per annum ------------ Amount invested = y
\n" ); document.write( " 12000
\n" ); document.write( "Interest----- 900.00
\n" ); document.write( "
\n" ); document.write( "Part I 7.25% per annum ---x
\n" ); document.write( "Part II 8.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + 1 y= 12000 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "7.25% x + 8.00% y= 900
\n" ); document.write( "Multiply by 100
\n" ); document.write( "7.25 x + 8 y= 90000.00 --------2
\n" ); document.write( "Multiply (1) by -7.25
\n" ); document.write( "we get
\n" ); document.write( "-7.25 x -7.25 y= -87000.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x 0.75 y= 3000
\n" ); document.write( "divide by 0.75
\n" ); document.write( " y = 4000
\n" ); document.write( "Part I 7.25% $ 8000
\n" ); document.write( "Part II 8.00% $ 4000
\n" ); document.write( "
\n" ); document.write( "CHECK
\n" ); document.write( "8000 --------- 7.25% ------- 580.00
\n" ); document.write( "4000 ------------- 8.00% ------- 320.00
\n" ); document.write( "Total -------------------- 900.00
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\n" ); document.write( "m.ananth@hotmail.ca
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