Final answer:
Given the dough required for bread and cakes, and the availability of 10 batches of dough, after making 8 cakes, 12 breads can be made with the remaining dough.
Step-by-step explanation:
The question involves a simple algebraic problem where we calculate the number of breads that can be made given a certain limitation on the batches of dough. Each bread and each cake require 1/2 batch of dough. With 10 batches of dough available and 8 cakes being made, 8 * 1/2 batches = 4 batches are allocated for the cakes. Therefore, there are 10 - 4 = 6 batches of dough remaining for the bread. Since each bread requires 1/2 batch of dough, the number of breads that can be made is 6 / (1/2) = 12 breads.