document.write( "Question 1093936: Sarah Myers has $31,000 invested in stock A and stock B. Stock A currently sells for $50 a share and stock B sells for $80 a share. If stock B triples in value and stock A goes up 50%, her stock will be worth $70,500. How many shares of each stock does she own? \n" ); document.write( "
Algebra.Com's Answer #708562 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = number of shares of stock A
\n" ); document.write( "Let \"+b+\" = number of shares of stock B
\n" ); document.write( "----------------------------------------
\n" ); document.write( "(1) \"+50a+%2B+80b+=+31000+\"
\n" ); document.write( "(2) \"+1.5%2A50a+%2B+3%2A80b+=+70500+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(2) \"+75a+%2B+240b+=+70500+\"
\n" ); document.write( "(2) \"+15a+%2B+48b+=+14100+\"
\n" ); document.write( "(2) \"+5a+%2B+16b+=+4700+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+5a+%2B+8b+=+3100+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+5a+%2B+16b+=+4700+\"
\n" ); document.write( "(1) \"+-5a+-+8b+=+-3100+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "\"+8b+=+1600+\"
\n" ); document.write( "\"+b+=+200+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+5a+%2B+8b+=+3100+\"
\n" ); document.write( "(1) \"+5a+%2B+8%2A200+=+3100+\"
\n" ); document.write( "(1) \"+5a+=+3100+-+1600+\"
\n" ); document.write( "(1) \"+5a+=+1500+\"
\n" ); document.write( "(1) \"+a+=+300+\"
\n" ); document.write( "-------------------
\n" ); document.write( "She owns 300 shares of stock A
\n" ); document.write( "She owns 200 shares of stock B
\n" ); document.write( "-------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+5a+%2B+16b+=+4700+\"
\n" ); document.write( "(2) \"+5%2A300+%2B+16%2A200+=+4700+\"
\n" ); document.write( "(2) \"+1500+%2B+3200+=+4700+\"
\n" ); document.write( "(2) \"+4700+=+4700+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );