Answer:
Chelsea initially had 34 stamps. 
Explanation:
Let Chelsea initially had x stamps. 
Now, she sold half of this amount.
Thus, number of stamps left = 

Now, it has been given that she bought seven more stamps.
Hence, now she have 
 stamps.
 stamps.
Also, it has been given that she has now 24 marbles.
Thus, we have the equation
 
 
 
Solve this equation for x
 
 
 
Therefore, Chelsea initially had 34 stamps.