Question 124939
Let "x" represent the autograph of the movie stars and "y" represent the autograph of the tv celebrities.

So according to the given data, she has 9 more autographs of the tv celebs than the movie stars.

So y = x + 9 


Now let us wirte the equation 


250x + 75y = 2300


Substitute for "y" we get:


250x + 75(x + 9) = 2300


250x + 75x + 675 = 2300 


325x = 1625


x = 5 


Pluggin back we get the value of y.


y = x + 9


y = 5 + 9


y = 14


Thus, the solution.