document.write( "Question 181776: Mrs. brandy invests a total of $8715 in two savings accounts. one account yields 8.5% simple intrest and the other 9.5% simple interest. She would like to find the amount placed in each account if a total of $754.88 in interest is received after one year \n" ); document.write( "

Algebra.Com's Answer #136375 by Mathtut(3670) $\"\"$ $\"About$

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Mrs. brandy invests a total of $8715 in two savings accounts. one account yields 8.5% simple intrest and the other 9.5% simple interest. She would like to find the amount placed in each account if a total of $754.88 in interest is received after one year
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\n" ); document.write( "let the amount invested at 8.5% and 9.5% be x and y respectively
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\n" ); document.write( "x+y=8715.............eq 1
\n" ); document.write( ".085x+.095y=754.88...eq 2
\n" ); document.write( ":
\n" ); document.write( "rewrite eq 1 to x=8715-y and plug it into eq 2
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\n" ); document.write( ".085(8715-y)+.095y=754.88
\n" ); document.write( ":
\n" ); document.write( "740.78-.085y+.095y=754.88
\n" ); document.write( ":
\n" ); document.write( " $\".01y=14.1\"$
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28y=1410%29\"$ dollars invested at 9.5%
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28x%29=red%288715-1410%29=highlight%287305%29\"$ dollars invested at 8.5% \n" ); document.write( "

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