Duffin House, Higgins Press, and Sickle Publications all went public on the same day recently. John O'Hagan had the opportunity to participate in all three initial public offerings (partly because he and Marjory Duffin are good friends). He made a considerable profit when he sold all of the stock 2 days later on the open market. The following table shows the purchase price and percentage yield on the investment in each company.   Purchase Price per Share ($) Yield (%) Duffin House (DHS) 8 20 Higgins Press (HPR) 10 15 Sickle Publications (SPUB) 15 15 He invested $25,000 in a total of 2,600 shares and made a $4,350 profit from the transactions. How many shares in each company did he purchase? Duffin House shares Higgins Press shares Sickle Publications shares

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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Duffin House, Higgins Press, and Sickle Publications all went public on the same day recently. John O'Hagan had the opportunity to participate in all three initial public offerings (partly because he and Marjory Duffin are good friends). He made a considerable profit when he sold all of the stock 2 days later on the open market. The following table shows the purchase price and percentage yield on the investment in each company.
  Purchase Price
per Share ($)
Yield (%)
Duffin House (DHS) 8 20
Higgins Press (HPR) 10 15
Sickle Publications (SPUB) 15 15
He invested $25,000 in a total of 2,600 shares and made a $4,350 profit from the transactions. How many shares in each company did he purchase?
Duffin House shares Higgins Press shares Sickle Publications shares
 
 
I have 
x+y+z=2600
8x+10y+15z=25,000
160x+150y+225z=435,000
 
i keep getting y=506, i know im doing something wrong :(
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