document.write( "Question 1205918: 2000 shares of stocks and bonds sold for $200,000. Bonds were sold for $400 each. Preferred stock sold at 2 for $100. Common stock (employees only) sold at 4 for $100. Determine number of common stock sold.\r
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document.write( "Not sure how to solve.\r
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Algebra.Com's Answer #843209 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "2000 shares of stocks and bonds sold for $200,000. Bonds were sold for $400 each. Preferred stock sold at 2 for $100. Common stock (employees only) sold at 4 for $100. Determine number of common stock sold.\r\n" ); document.write( "\r\n" ); document.write( "Not sure how to solve.\r\n" ); document.write( "\r\n" ); document.write( "I found that the least number of bonds sold would've been greater than 285, and the greatest number would've been\r\n" ); document.write( "400. I also found that more than 400 (401) bonds could not have been sold, as that number would've resulted in 1,614\r\n" ); document.write( "shares of common stock and - 15 shares of preferred stock. In addition, the sale of 285 bonds would also yield \r\n" ); document.write( "nonsensical results. So, the number of bonds that could've been sold would've been between 286 and 400, inclusive, a\r\n" ); document.write( "TOTAL of 115 different possibilities. However, because bonds come in $50 increments/denominations, the least and \r\n" ); document.write( "greatest amount that could've been sold would've been 300 and 400, respectively. \r\n" ); document.write( "\r\n" ); document.write( "So, we now have 3 $50-increment possibilities for bonds, from 300 - 400, as follows:\r\n" ); document.write( " ----------------------------------------------\r\n" ); document.write( " |Instrument | No. | No. | No. |\r\n" ); document.write( " |BONDS | 300| 350| 400| \r\n" ); document.write( " |Shares of COMMON STOCK | 200| 900| 0| \r\n" ); document.write( " |Shares of PREFERRED STOCK |1,500| 750|1,600| \r\n" ); document.write( " ----------------------------------------------\r\n" ); document.write( " |Total |2,000|2,000|2,000| \r\n" ); document.write( " ----------------------------------------------\r\n" ); document.write( "Now, since 400 bonds lead to 0 common stocks being sold - and it's stated that common and preferred were sold - I\r\n" ); document.write( "would rule out the 400-bond, 1,600 preferred-stock sale. \r\n" ); document.write( "\r\n" ); document.write( "This now leaves the following 2 possibilities: \r\n" ); document.write( " ----------------------------------------\r\n" ); document.write( " |Instrument | No. | No. |\r\n" ); document.write( " |BONDS | 300| 350| \r\n" ); document.write( " |Shares of COMMON STOCK | 200| 900| \r\n" ); document.write( " |Shares of PREFERRED STOCK |1,500| 750| \r\n" ); document.write( " ----------------------------------------\r\n" ); document.write( " |Total |2,000|2,000| \r\n" ); document.write( " ----------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "You now have 2 LEGIT possibilities, in my opinion.\n" ); document.write( " |