To find the number of batches Molly can make, we need to determine how many batches each ingredient will allow, given the recipe requirements:

• Peanut butter: $\frac{3 \text{ cups available}}{ \frac{3}{4} \text{ cups needed per batch}} = \frac{3}{\frac{3}{4}} = 3 \times \frac{4}{3} = 4 \text{ batches}$
• Sugar: $\frac{9 \text{ cups available}}{1.5 \text{ cups needed per batch}} = \frac{9}{1.5} = 6 \text{ batches}$
• Eggs: $\frac{5 \text{ eggs available}}{1 \text{ egg needed per batch}} = 5 \text{ batches}$

The number of batches Molly can make is limited by the ingredient that allows for the fewest batches, which is 4 batches due to the peanut butter constraint.

So, Molly can make 4 batches of cookies.

Would you like a breakdown of each calculation step?

Here are five questions related to this problem:

1. If Molly had only 2 eggs, how would that affect the number of batches she could make?
2. What if Molly doubled the sugar amount in each batch? How would the answer change?
3. How many batches could Molly make if she had 6 cups of peanut butter instead?
4. If each batch makes 12 cookies, how many cookies can Molly make with her ingredients?
5. How would the solution change if Molly used a different recipe with slightly altered ingredient amounts?

Tip: When determining maximum batches or portions, always identify the limiting factor by dividing available quantities by required quantities for each ingredient.