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 Priceper Share ($)Yield (%)Duffin House (DHS)820Higgins Press (HPR)1015Sickle Publications (SPUB)1515He 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=26008x+10y+15z=25,000160x+150y+225z=435,000 i keep getting y=506, i know im doing something wrong :(

Name: Duffin House, Higgins Press, and Sickle Publications all went public o
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Description: 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 co

Let x represents the number of shares of Duffin House, y represents the number of shares of Higgins Press and z represents the number of shares of Sickle publications. Form the given information, the purchased total share is 2600. That is, x+y+z=2600 ⋯1. The investment on the all shares is $25,000. That is, 8x+10y+15z=25000 ⋯2. And also given that, the profit from the transactions is 4350. That is, 201008x+1510010y+1510015z=4350160x+150y+225z=435,000 ⋯3Solve the above system of equation as follows, From equation (1) and (2). 1×15⇒2⇒ 15x+15y+15z=390008x+10y+15z=25000- 7x+5y=14000 ⋯4 From the equation (1) and (3). 1×225⇒3⇒ 225x+225y+225z=585,000160x+150y+225z=435,000- 65x+75y=150,000 ⋯5Solve the equation (4) and (5). 4×15⇒2⇒ 105x+75y=210,00065x+75y=150,000- 40x=60,000 x=1,500 Substitute x=1500 in (4). 71500+5y=14,0005y=14,000-10,500y=700 Substitute x=1500 and y=700 in x+y+z=2600. 1500+700+z=2600z=2600-2200z=400 Therefore, the solution is x=1,500, y=700 and z=400.Answers: The number of shares of Duffin House is 1500. The number of shares of Higgins Press is 700. The number of shares of Sickle publications is 400.

Answered: Duffin House, Higgins Press, and Sickle…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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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