document.write( "Question 715502: A student takes out two loans, totaling $4000. One loan is at 6% interest, the other at 5% interest. the interest for one year is $215. what is the amount of each loan? \n" ); document.write( "

Algebra.Com's Answer #439478 by mananth(16946) $\"\"$ $\"About$

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Part I 6.00% per annum ---x
\n" ); document.write( "Part II 5.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + y= 4000 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "6.00% x + 5.00% y= 215
\n" ); document.write( "Multiply by 100
\n" ); document.write( "6 x + 5 y= 21500.00 --------2
\n" ); document.write( "Multiply (1) by -6
\n" ); document.write( "we get
\n" ); document.write( "-6 x -6 y= -24000.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x -1 y= -2500
\n" ); document.write( "divide by -1
\n" ); document.write( " y = 2500
\n" ); document.write( "Part I 6.00% $ 1500
\n" ); document.write( "Part II 5.00% $ 2500
\n" ); document.write( "
\n" ); document.write( "CHECK
\n" ); document.write( "1500 --------- 6.00% ------- 90.00
\n" ); document.write( "2500 ------------- 5.00% ------- 125.00
\n" ); document.write( "Total -------------------- 215.00
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