Answer:

The baker made 36 batches of muffins.

Step-by-step explanation:

Let the total amount of flour be x

We know he used 2/5 of the flour for bread, we also know he used 16 pounds for bread.

We can write this as :

frac{2}{5}times x=16

Solving this we get;

2x=80

So, x = 40

Means total amount of flour was 40 pounds and he used 16 pounds for bread, so the remaining is for batches of muffins, which is 40-16=24 pounds

As each batch of muffin uses 2/3 pounds, so 24 pounds of flour will be used to bake :

frac{24}{frac{2}{3} }

= frac{24times3}{2} =36

Hence, the baker made 36 batches of muffins.