Question 1155726
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Let "n" be the unknown number of items she bought.


Then the number of items she sold is (n-25).


The price she purchased each item was  {{{2250/n}}}.


The price she sold each item was  {{{2250/(n-25)}}}.


The difference in prices per item is 1 dollar


    {{{2250/(n - 25)}}} - {{{2250/n}}} = 1.


Solve this equation to find n.

For it, multiply both sides of the equation by n*(n-25);  then simplify and reduce the equation to standard form;
then solve it EITHER using the quadratic function OR factoring (on your choice).


<U>ANSWER</U>.  n = 250.


<U>CHECK</U>.   {{{2250/(250-25)}}} - {{{2250/250}}} = 10 - 9 = 1.    ! Correct !
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Solved.