Answer:
I sell 12 bracelets and 24 necklaces.
Explanation:
The selling price of each bracelet is $2 and that of each necklace is $3. 
I collect $96, selling a total of 36 jewelry items. 
Let us assume that I sell x bracelets and y necklaces. 
So, x + y = 36 ........ (1) and 
2x + 3y = 96 .......... (2) 
Now, solving equations (1) and (2) we get, 3y - 2y = 96 - 72 
⇒ y = 24 
Hence, from equation (1) we get x = 36 - y = 36 - 24 = 12 
Therefore, I sell 12 bracelets and 24 necklaces. (Answer)