Answer
Maximum of 39 bags can be transported in one go.
Work Step by Step
Let x be the number of cement bags.
The total weight of the elevator with x bags would be:
\[265+65x\]
Now, the weight constraint gives rise to the following inequality:
\[265+65x\le 2800\]
According to the question, we get
\[\begin{align}
& 265+65x\le 2800 \\
& 265+65x-265\le 2800-265 \\
& 65x\le 2535 \\
& \frac{65x}{65}\le \frac{2535}{65}
\end{align}\]
\[x\le 39\]
Maximum of 39 bags can be transported in one go.
