Final answer:
Diego can create bags containing the same combination of 3 brownies and 4 cookies by finding the GCD of 48 and 64, which is 16.
Step-by-step explanation:
To package all 48 brownies and 64 cookies so that each bag has the same combination of items, Diego needs to find the greatest common divisor (GCD) of the two quantities.
The GCD of 48 and 64 is 16.
Therefore, Diego can create bags that each contain 3 brownies and 4 cookies, since 48 divided by 16 equals 3, and 64 divided by 16 equals 4.