SOLUTION: Can you please help me with this problem...Thank you Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y. The total value of Bob's holdings of these two c

Question 167658: Can you please help me with this problem...Thank you
Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y. The total value of Bob's holdings of these two companies is $340,000.
Suppose Frank owns 8,000 shares of Company X and 6,000 shares of Company Y. The total value of Franks holdings of these two companies is $340,000.
a. Write equations for Bob and Frank's holdings. Use the variables X and Y to represent the values of shares of Company X and Company Y.
b. Solve for the value of a share of Company X and Company Y. Show your work so you can get partial credit even if your final answer is wrong.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y. The total value of Bob's holdings of these two companies is $340,000.
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Bob's holdings: 2000x + 10000y = 340,000 where x and y are the value of one
share of company x or of company y.
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Frank's holding: 8000x + 6000y = 340,000 where x and y are the value of
one share of the respective companies.
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EQUATION:
2000x + 10000y = 340000
8000x + 6000y = 340000
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Multiply 1st by 4 and subtract from the 2nd to get:
2000x + 10000y = 340000
0x - 34000y = -3*340000
y = $30 per share of company Y
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Substitute to solve for "x":
2000x + 10000*30 = 340000
2000x + 300000 = 340000
x = $20 per share of company X
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Cheers,
Stan H.

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