if it takes 12 cooks 2 hours to bake 3 cakes, how many hours would it take for 8 cooks to cook 6 cakes?
the rate is 8/12 (3cakes/2hours)
6cakes=rate*time
6=(8*3/12*2)*time
time=6hours
To solve this problem, we can set up a proportion based on the information provided.
First, let's calculate the number of cakes baked per hour by 12 cooks:
In 2 hours, 12 cooks can bake 3 cakes.
So, in one hour, 12 cooks can bake 3/2 cakes (since they baked 3 cakes in 2 hours).
Next, let's calculate the number of cakes baked per hour by 1 cook:
Since 12 cooks can bake 3/2 cakes in one hour, we can divide the number of cakes by the number of cooks. So, 3/2 cakes divided by 12 cooks equals 1/8 cake baked per hour by 1 cook.
Now, let's use this information to find out how many hours it would take for 8 cooks to bake 6 cakes:
We can set up a proportion, where the number of cakes baked per hour by 1 cook is to 8 cooks as 6 cakes is to the unknown number of hours.
So, (1/8 cake per hour)/(8 cooks) = (6 cakes)/(x hours).
To solve for x, we can cross-multiply:
(1/8) * (x) = (6)
x/8 = 6
Multiply both sides by 8:
x = 48
Therefore, it would take 8 cooks 48 hours to bake 6 cakes.