A master craftsman and an apprentice together receive a total payment of $1,800 for 5 days of work. If the master craftsman's work efficiency is three times that of the apprentice, what is the daily wage of the apprentice?

The correct option is $90.

Step 1: Calculate the combined daily wage.
The master craftsman and the apprentice together earn a total of $1,800 for 5 days of work.
To find their combined daily wage, divide the total payment by the total number of days:

$\text{Combined Daily Wage}=\frac{1800}{5}=360$

Together, they earn $360 per day.

Step 2: Set up the wage relationship based on work efficiency.
Payment is divided according to work efficiency.
Since the master craftsman's work efficiency is 3 times that of the apprentice, the master craftsman earns 3 times the daily wage of the apprentice.
Let the daily wage of the apprentice be $x$.
Then, the daily wage of the master craftsman is $3x$.

Step 3: Solve for the apprentice's daily wage.
The sum of their individual daily wages equals their total combined daily wage:

$x+3x=360$

$4x=360$

$x=\frac{360}{4}$

$x=90$

Therefore, the daily wage of the apprentice is $90.