The baker made 36 batches of muffins.
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 :
Solving this we get;
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 pounds
As each batch of muffin uses 2/3 pounds, so 24 pounds of flour will be used to bake :
Hence, the baker made 36 batches of muffins.