Everyone Counts Inc. reports that its Internet-based ballot delivery system is producing good results for one of its clients, Cook County in Illinois.

In a statement issued April 23, Everyone Counts said the system has improved ballot access, noting that traditional vote-by-mail systems “have historically made it difficult for overseas ballots to make it back to the states in time to be counted.”

The technology firm, based in University Towne Center, said that 53 percent of the overseas voters and military voters who requested primary election ballots from Cook County returned them. That is better than the 50 percent of ballots returned in the 2008 presidential primary, and much better than the 11 percent of ballots returned in the 2010 gubernatorial primary. Illinois held its 2012 primary election on March 20.

A number of voters cast their ballots within an hour of getting them by Internet, said David Orr, the county clerk, in a statement distributed by Everyone Counts.

Under the Cook County system, military and overseas voters can use smartphones, tablet, laptop or desktop computers to request and receive their ballots online. A voter marks the ballot online, prints it, reviews the document and signs it before mailing it off to elections officials in the Chicago area.

Everyone Counts said it will work with Cook County through 2016. Financial terms of the Cook County deal were not disclosed.