document.write( "Question 498791: Rosie invested $2000 last year. She put some of the money in a 3.5% saving account and the rest in a 5% CD. At the end of the year she earned $84.25 of simple interest from her investments. HOw much money did Rosie invest in each account? \n" ); document.write( "

Algebra.Com's Answer #337167 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = amount invested @ 3.5%
\n" ); document.write( "Let $\"b\"$ = amount invested @ 5%
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+2000+\"$
\n" ); document.write( "(2) $\"+.035a+%2B+.05b+=+84.25+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides of (2) by $\"+1000+\"$
\n" ); document.write( "(2) $\"+35a+%2B+50b+=+84250+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+35+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+35a+%2B+50b+=+84250+\"$
\n" ); document.write( "(1) $\"+-35a+-+35b+=+-70000+\"$
\n" ); document.write( " $\"+15b+=+14250+\"$
\n" ); document.write( " $\"+b+=+950+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+2000+\"$
\n" ); document.write( "(1) $\"+a+%2B+950+=+2000+\"$
\n" ); document.write( "(1) $\"+a+=+1050+\"$
\n" ); document.write( "$1,050 = amount invested @ 3.5%
\n" ); document.write( "$950 = amount invested @ 5%
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+.035a+%2B+.05b+=+84.25+\"$
\n" ); document.write( "(2) $\"+.035%2A1050+%2B+.05%2A950+=+84.25+\"$
\n" ); document.write( "(2) $\"+36.75+%2B+47.5+=+84.25+\"$
\n" ); document.write( "(2) $\"+84.25+=+84.25+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );