Three chefs

Let's say you have 3 Chefs that have made 14 cakes in 8 hours. Assuming they are working at the same efficiency, how many hours does it take 10 Chefs to bake 24 cakes? (Rounded to the nearest hour)

Correct answer:

t =  4

Step-by-step explanation:

$$\begin{gathered} h=\frac{14}{3\cdot 8}=\frac{7}{12}\doteq 0.58331\text{/h} \\ \frac{3\cdot 8}{14}=\frac{10\cdot t}{24} \\ t=\frac{3\cdot 8\cdot 24}{14\cdot 10}=\frac{144}{35}=4\frac{4}{35}=4 \end{gathered}$$

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