Newton's task

Grass grows in a meadow at a constant, uniform rate. It is known that 35 cows can graze the meadow bare in 27 days, and 39 cows in 24 days. How many cows can graze the meadow bare in 6 days?

Final Answer:

n =  147

Step-by-step explanation:

$$\begin{gathered} d=\frac{35\cdot 27-39\cdot 24}{27-24}=3 \\ s=35\cdot 27-d\cdot 27=35\cdot 27-3\cdot 27=864 \\ n=\frac{s+d\cdot 6}{6}=\frac{864+3\cdot 6}{6}=147 \end{gathered}$$

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