document.write( "Question 424866: Jane has $16,000 invested in HP and Intel stock. The HP stock
\n" ); document.write( "currently sells for $30 a share and the Intel stock for $70 a share. If Intel
\n" ); document.write( "stock triples in value and HP stock goes up 50%, her stock will be worth
\n" ); document.write( "$34,500. How many shares of each stock does she own? (show step by step) \n" ); document.write( "

Algebra.Com's Answer #296051 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = shares of HP she holds
\n" ); document.write( "Let $\"b\"$ = shares of Intel she holds
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+30a+%2B+70b+=+16000+\"$
\n" ); document.write( "(2) $\"+1.5%2A30a+%2B+3%2A70b+=+34500+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) $\"+45a+%2B+210b+=+34500+\"$
\n" ); document.write( "(2) $\"+3a+%2B+14b+=+2300+\"$
\n" ); document.write( "Multiply both sides of (2) by $\"10\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+30a+%2B+140b+=+23000+\"$
\n" ); document.write( "(1) $\"+-30a+-+70b+=+-16000+\"$
\n" ); document.write( " $\"+70b+=+7000+\"$
\n" ); document.write( " $\"b+=+100+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+3a+%2B+14%2A100+=+2300+\"$
\n" ); document.write( "(2) $\"+3a+=+2300+-+1400+\"$
\n" ); document.write( "(2) $\"+3a+=+900+\"$
\n" ); document.write( " $\"+a+=+300+\"$
\n" ); document.write( "300 shares of HP
\n" ); document.write( "100 shares of Intel \n" ); document.write( "

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