Three monks

Three medieval monks have the task of copying 600 pages of the Bible. One rewrites in three days, 1 page, the second in 2 days, three pages, and a third in 4 days, two sides. Calculate for how many days and what day the monks will have copied the whole Bible when they begin. Wednesdays and Sundays have been dedicated exclusively to prayer and meditation.

Final Answer:

n =  301
x =  3

Step-by-step explanation:

$$\begin{gathered} d=\frac{1}{3}+\frac{3}{2}+\frac{2}{4}=\frac{4}{12}+\frac{18}{12}+\frac{6}{12}=\frac{4+18+6}{12}=\frac{28}{12}=\frac{7}{3}=2\frac{1}{3}\doteq 2.3333 \\ {d}_0=600/d=600/\frac{7}{3}=600:\frac{7}{3}=600\cdot \frac{3}{7}=\frac{600\cdot 3}{7}=\frac{1800}{7}\doteq 257.1429 \\ n=d_0\cdot \frac{7}{6}+1=\frac{1800}{7}\cdot \frac{7}{6}+1=301 \end{gathered}$$

$$\begin{gathered} 301/7=43=>x=3 \\ x=3 \end{gathered}$$

Try another example