ALBANY COUNTY — The county’s death toll from COVID-19 climbed to 46 on Saturday with two more deaths — a man and a woman, both in their sixties.

Now, 1,185 county residents have tested positive for coronavirus disease 2019. The statewide total of confirmed cases is 312,977, Governor Andrew Cuomo announced on Saturday.

Cuomo also announced the results of the state’s completed antibody testing study, which shows 12.3 percent of New Yorkers have COVID-19 antibodies.

“We’ve done the largest survey in the nation testing for people who have antibodies,” said Cuomo at his Saturday press briefing in Queens. “If somebody has antibodies, it means that that person was infected.”

The survey developed a baseline infection rate by testing 15,000 people at grocery stores and community centers across the state over the past two weeks. Of those tested, 11.5 percent of women tested positive and 13. percent of men tested positive.

The highest percentage was in New York City, the epicenter of the pandemic, where 19.9 percent tested positive for antibodies to COVID-19; other downstate counties were in the double digits. In the Capital Region, 2.2 percent tested positive. The lowest percentage was in the North Country, at 1.2 percent.

Cuomo also announced that the state is distributing $25 million to food banks across New York through the Nourish New York initiative, which is working to reroute surplus agricultural products to the populations that need them most through New York’s network of food banks.

The New York City region is getting the most funds — $11 million. The Capital Region and Hudson Valley Region together with part of the North County is getting $4.4 million.

“The more this has gone on, the longer people are without a job, the longer people are without a check, basics like paying rent and buying food become very important,” said Cuomo. “We have addressed the rent issue, the immediate urgent need. Nobody can be evicted for nonpayment of rent and that’s true through June. So, people are stable in their housing environment. The next basic need is food right and we’re operating food banks.”

Since March 16, the Regional Food Bank of Northeastern New York has increased the food it donates by 50 percent, distributing more than five million pounds, Mark Quant, director of the Food Bank, said in late April.

“This is Ground Zero for the coronavirus,” said Albany County Executive Daniel McCoy of New York State at his Saturday morning press briefing.

At the county’s nursing home, Shaker Place, 48 residents have tested positive for COVID-19 and two of them have recovered. Fifteen employees have tested positive and nine of them have recovered and are back at work. Four Shaker Place residents have died of the disease.

Currently, 1,057 county residents are under mandatory quarantine and 11 are under precautionary quarantine. Altogether, 2,386 county residents have completed quarantine and 591 residents who tested positive have recovered.

As of Saturday, 34 county residents were hospitalized with eight in intensive-care units. The hospitalization rate for Albany County stands at 2.86 percent.

McCoy said Albany County has been working with neighboring Schenectady and Rensselaer counties to get their diagnostic testing up and running. “Without a regional approach … we’re not going to be able to reopen,” McCoy said.

McCoy again asked county residents to send the county ideas on reimagining the way work will be done once businesses are able to reopen. Cuomo on Friday said that nonessential businesses would remain closed until at least May 15.

“It’s trial and error,” said McCoy on reopening. He had earlier mentioned the possibility of split shifts so workers could be spaced apart in their workplaces. “We’ve never been down this road,” he said on Saturday.

He concluded, “We need to work together.”