A week ago, I have received an invitation to review a manuscript in Applied Mathematics by an Elsevier journal and I was given a deadline of two weeks to reply to the invitation. As I was a little bit occupied, I have decided that I will respond to the invitation a week after receiving the invitation, in order to scope through the abstract.
When I logged into the system a week later, I noticed that the paper was submitted two months earlier and the editor accepted it for publication with only one referee report, which was positive. This acceptance happened approximately a week after inviting me.
Going through the manuscript now, I have some minor comments about the paper, but what I need to know is if it is a common practice to accept a paper with one report, even when dealing with applied mathematics papers rather than papers in pure mathematics.