document.write( "Question 1054177: Investments An investor owned 300 shares of an oil company and 250 shares of a movie company. The quarterly dividend from the two companies was $187.50. After the investor sold 120 shares of the oil company and bought an additional 120 shares of the movie company, the quarterly dividend became $211.50.\r
\n" ); document.write( "\n" ); document.write( "Find the dividend per share for each stock.
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Algebra.Com's Answer #669368 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = the quarterly dividend
\n" ); document.write( "from 1 share of the oil company
\n" ); document.write( "Let \"+b+\" = the quarterly dividend
\n" ); document.write( "from 1 share of the movie company
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(1) \"+300a+%2B+250b+=+187.5+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "\"+300+-+120+=+180+\"
\n" ); document.write( "\"+250+%2B+120+=+370+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "(2) \"+180a+%2B+370b+=+211.5+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "Divide both sides of (1) and (2) by \"+25+\"
\n" ); document.write( "(1) \"+12a+%2B+10b+=+7.5+\"
\n" ); document.write( "(2) \"+7.2a+%2B+14.8b+=+8.46+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+10+\"
\n" ); document.write( "Multiply both sides of (2) by \"+100+\"
\n" ); document.write( "(1) \"+120a+%2B+100b+=+75+\"
\n" ); document.write( "(2) \"+720a+%2B+1480b+=+846+\"
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\n" ); document.write( "Multiply both sides of (1) by \"+6+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+720a+%2B+1480b+=+846+\"
\n" ); document.write( "(1) \"+-720a+-++600b+=+-450+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "\"+880b+=+396+\"
\n" ); document.write( "\"+b+=+.45+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+120a+%2B+100b+=+75+\"
\n" ); document.write( "(1) \"+120a+%2B+100%2A.45+=+75+\"
\n" ); document.write( "(1) \"+120a+=+75+-+45+\"
\n" ); document.write( "(1) \"+120a+=+30+\"
\n" ); document.write( "(1) \"+a+=+.25+\"
\n" ); document.write( "-------------------
\n" ); document.write( "The quarterly dividend
\n" ); document.write( "from 1 share of the oil company
\n" ); document.write( "= $.25
\n" ); document.write( "The quarterly dividend
\n" ); document.write( "from 1 share of the movie company
\n" ); document.write( "= $.45
\n" ); document.write( "-----------------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+300a+%2B+250b+=+187.5+\"
\n" ); document.write( "(1) \"+300%2A.25+%2B+250%2A.45+=+187.5+\"
\n" ); document.write( "(1) \"+75+%2B+112.5+=+187.5+\"
\n" ); document.write( "(1) \"+187.5+=+187.5+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+180a+%2B+370b+=+211.5+\"
\n" ); document.write( "(2) \"+180%2A.25+%2B+370%2A.45+=+211.5+\"
\n" ); document.write( "(2) \"+45+%2B+166.5+=+211.5+\"
\n" ); document.write( "(2) \"+211.5+=+211.5+\"
\n" ); document.write( "OK
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