document.write( "Question 899973: Wendy was awarded a volleyball scholarship to the University of Michigan, so on graduation her parents gave her the $20,000 they had saved for her college tuition. She opted to invest some money in a privately held company that pays 10 % per year and evenly split the remaining money between a money market account yielding 2 % and a high-risk stock that yielded 40 %. At the end of the first year she had $23,320 total. How much did she invest in each of the three? \n" ); document.write( "

Algebra.Com's Answer #545717 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = amount invested @ 10%
\n" ); document.write( "Let $\"+y+\"$ = amount invested @ 2%
\n" ); document.write( " $\"+y+\"$ = amount invested @ 40%
\n" ); document.write( "---------------------------------
\n" ); document.write( "(1) $\"+x+%2B+2y+=+20000+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+.1x+%2B+.02y+%2B+.4%2Ay+=+3320+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "(2) $\"+.1x+%2B+.42y+=+3320+\"$
\n" ); document.write( "(2) $\"+10x+%2B+42y+=+332000+\"$
\n" ); document.write( "(2) $\"+5x+%2B+21y+=+166000+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+5+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5x+%2B+21y+=+166000+\"$
\n" ); document.write( "(1) $\"+-5x+-+10y+=+-100000+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( " $\"+11y+=+66000+\"$
\n" ); document.write( " $\"+y+=+6000+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+x+%2B+2y+=+20000+\"$
\n" ); document.write( "(1) $\"+x+%2B+2%2A6000+=+20000+\"$
\n" ); document.write( "(1) $\"+x+=+20000+-+12000+\"$
\n" ); document.write( "(1) $\"+x+=+8000+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "The amount invested @ 10% is $8,000
\n" ); document.write( "The amount invested @ 2% is $6,000
\n" ); document.write( "The amount invested @ 40% is $6,000
\n" ); document.write( "----------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+.1x+%2B+.02y+%2B+.4%2Ay+=+3320+\"$
\n" ); document.write( "(2) $\"+.1%2A8000+%2B+.02%2A6000+%2B+.4%2A6000+=+3320+\"$
\n" ); document.write( "(2) $\"+800+%2B+120+%2B+2400+=+3320+\"$
\n" ); document.write( "(2) $\"+3320+=+3320+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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