Let us prepare an inequality statement to answer the question.
There is a one-time fee of $85 and a fee of $23 per guest. If x represents the number of guests, the amount spent will be:

If the amount spent cannot exceed $1750, we have the inequality statement to be:

We can solve as follows:

Since we cannot have a fraction of a person, the answer will be 72.
her maximum number of guests is 72.