To find the total amount of flour needed, we need to multiply the amount of flour needed per cake by the number of cakes for each type.
For birthday cakes:
2.4 pounds of flour * 27 cakes = 64.8 pounds
For wedding cakes:
3.75 pounds of flour * 5 cakes = 18.75 pounds
Therefore, Aubrey will need a total of approximately 64.8 + 18.75 = 83.55 pounds of flour for the birthday and wedding cakes. Rounded to the nearest tenth of a pound, she will need 83.6 pounds of flour.