Question

Arthur found that for every 200 peasants only 10 had seen a Dane. If there were 150,000 peasants in the kingdom how many had never seen a Dane?

Answer 1

We can solve this problem by applying the rule of 3.

If 10 out of 200 peasants had seen a Dane, x out of 150,000 had seen a Dane.

We can calculate x as:

`\begin{gathered} 200\text{ peasants}\longrightarrow10\text{ seen Dane} \\ 150,000\text{ peasants}\longrightarrow x=(10)/(200)\cdot150,000=0.05\cdot150,000=7,500 \end{gathered}`

Out of 150,000, 7,500 had seen a Dane. Then 150,000-7,500=142,500 peasants had never seen a Dane.

Answer: 142,500 peasants had never seen a Dane.