SOLUTION: You purchased 225 shares of stocks total. Stock a at 50 per share and stock b at 75 per share. For a total of 13,750. How many of each were purchased?

Algebra ->  Linear-equations -> SOLUTION: You purchased 225 shares of stocks total. Stock a at 50 per share and stock b at 75 per share. For a total of 13,750. How many of each were purchased?      Log On


   

Question 1199780: You purchased 225 shares of stocks total. Stock a at 50 per share and stock b at 75 per share. For a total of 13,750. How many of each were purchased?
Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
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You purchased 225 shares of stocks total.
Stock a at 50 per share and stock b at 75 per share.
For a total of 13,750. How many of each were purchased?
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Let x be the number of shares purchased at 75 per share.

Then the number of shares purchased at 75 per share was (225-x).


As you read the problem, write the total money amount equation

    75x + 50*(225-x) = 13750  dollars.


Simplify, express x and get the answer

    75x + 50*225 - 50x = 13750

    75x - 50x          = 13750 - 50*225

       25x             =      2500

         x             =      2500/25 = 100.


ANSWER.  100 shares at $75  and  the rest  225 - 100 = 125 shares at $50.


CHECK.   100*75 + 125*50 = 13750 dollars, the total amount spent.  ! Correct !

Solved.