Final answer:
The baker can make 10 full batches of cookies with the available ingredients.
Step-by-step explanation:
To determine how many full batches of cookies the baker can make, we need to compare the available ingredients to the quantities needed for one batch of cookies. The recipe calls for 1 cup of sugar, 1 cup of chunky peanut butter, and 1 medium egg. The baker has 12.5 cups of sugar, 15 cups of chunky peanut butter, and 10 eggs.
Dividing the available quantities by the required quantities, we find that the baker has enough ingredients to make 12.5 batches of cookies with the sugar, 15 batches with the peanut butter, and 10 batches with the eggs. We take the minimum of these quantities to find that the baker can make 10 full batches of cookies with the available ingredients.