SOLUTION: An investor bought 225 shares of stock, stock A at $50 per share and stock B $75 per share. If $13,750 worth of stock was purchased, how many shares of each kind did the investor b

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An investor bought 225 shares of stock, stock A at $50 per share and stock B $75 per share. If $13,750 worth of stock was purchased, how many shares of each kind did the investor b      Log On


   



Question 832897: An investor bought 225 shares of stock, stock A at $50 per share and stock B $75 per share. If $13,750 worth of stock was purchased, how many shares of each kind did the investor buy?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An investor bought 225 shares of stock, stock A at $50 per share and stock B $75 per share. If $13,750 worth of stock was purchased, how many shares of each kind did the investor buy?
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Quantity: f + s = 225 shares
Value: 50f+75s = 13750
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Modify:
2f + 2s = 2*225
2f + 3s = 550
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Subtract and solve for "s":
s = 100 (# of $75 shares)
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Solve for "f":
f = 225 - 100 = 125 (# of $50 shares)
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Cheers,
Stan H.
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