document.write( "Question 874587: mardi received an inheritance of $70,000. she invested part at 7% and deposited the reminder in a 8%. her total annual income was $5300. Find the amount invested at 7%. \n" ); document.write( "

Algebra.Com's Answer #527621 by mananth(16946) $\"\"$ $\"About$

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Part I 7.00% per annum ------------- Amount invested =x
\n" ); document.write( "Part II 8.00% per annum ------------ Amount invested = y
\n" ); document.write( " 70000
\n" ); document.write( "Interest----- 5300.00
\n" ); document.write( "
\n" ); document.write( "Part I 7.00% per annum ---x
\n" ); document.write( "Part II 8.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + 1 y= 70000 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "7.00% x + 8.00% y= 5300
\n" ); document.write( "Multiply by 100
\n" ); document.write( "7 x + 8 y= 530000.00 --------2
\n" ); document.write( "Multiply (1) by -7
\n" ); document.write( "we get
\n" ); document.write( "-7 x -7 y= -490000.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x 1 y= 40000
\n" ); document.write( "divide by 1
\n" ); document.write( " y = 40000
\n" ); document.write( "Part I 7.00% $ 30000
\n" ); document.write( "Part II 8.00% $ 40000
\n" ); document.write( "
\n" ); document.write( "CHECK
\n" ); document.write( "30000 --------- 7.00% ------- 2100.00
\n" ); document.write( "40000 ------------- 8.00% ------- 3200.00
\n" ); document.write( "Total -------------------- 5300.00
\n" ); document.write( "
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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