Answer:
33 boxes.
Step-by-step explanation:
We have been given that a freight elevator can safely hold no more than 2000 pound. Weight of elevator operator is 165 pound. Weight of each box is 55 pound.
Let n be number of boxes. We will write an inequality as weight of elevator operator and weight of all boxes should be no more than 2000 pound.
[tex]55*n+165\leq 2000[/tex]
Now we will solve our inequality to find number of boxes that could be moved safely at one time.
[tex]55*n\leq 2000-165[/tex]
[tex]55*n\leq 1835[/tex]
[tex]n\leq \frac{1835}{55}[/tex]
[tex]n\leq 33.363636[/tex]
Therefore, 33 boxes can be moved safely at one time.