To solve this problem you must apply the proccedure shown below:
 1. Let's express the quantities as improper fractions.
 2. You have that she requires:
 
 grams of vanilla paste per batch.
 grams of vanilla paste per batch.
 3. And she has:
 
 grams of vanilla paste.
 grams of vanilla paste. 
 3. Therefore, you must divide both quantities to solve the exercise and you can express the result as a mixed number.
 

 Therefore, as you can see, the answer is: She can bake 
 batches of cookies.
 batches of cookies.