SOLUTION: A store has $50,000 of inventory in notebook computers and desktop computers. The profit on a notebook computer is 25% and the profit on a desktop computer is 20%. The profit for t

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Question 1167449: A store has $50,000 of inventory in notebook computers and desktop computers. The profit on a notebook computer is 25% and the profit on a desktop computer is 20%. The profit for the entire stock is 23%. How much is invested in notebook computers and how much in desktop computer?
Answer by ikleyn(52813) About Me  (Show Source):
You can put this solution on YOUR website!
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Let D be the amount invested in desktop computers.

Then the amount invested in the notebook computers is (50000-D).


The total profit equation is

    0.2*D + 0.25*(50000-D) = 0.23*50000.


From the equation

    D = %280.23%2A50000+-+0.25%2A50000%29%2F%280.2+-+0.25%29 = 20000.


ANSWER.  The amount invested at desktop computers is 20000 dollars.


CHECK.  0.2*20000 + 0.25*(50000 - 20000) = 11500 = 0.23*50000.   ! Correct !

Solved.