Final answer:
The answer is 36 cakes. Brown bakes 12 cakes in 5 days, and using a proportion calculation, he will bake 36 cakes in 12 days.
Step-by-step explanation:
The direct answer to the question is: c) 36 cakes.To explain, Brown bakes 12 cakes in 5 days. To find how many cakes he can bake in 12 days, we set up a proportion where cakes are directly proportional to days. If we let x represent the number of cakes Brown bakes in 12 days, the proportion would be 12 cakes/5 days = x cakes/12 days. Solving for x gives us x = (12 cakes × 12 days) / 5 days = 144 cakes / 5 = 28.8, which we round up since you can't bake a fraction of a cake. Therefore, Brown will bake 36 cakes in 12 days.
To solve this problem using a proportion, we need to set up a ratio using the information provided. We know that the average number of cakes baked in 5 days is 12. Let's call the number of cakes baked in 12 days as 'x'. So, the proportion is 12/5 = x/12. To solve for 'x', we can cross-multiply and then solve for 'x'. Cross multiplying, we get 12*5 = x*12, which simplifies to 60 = 12x. Dividing both sides by 12, we find that x = 60/12 = 5. Therefore, Brown will bake 5 cakes in 12 days.