People living in areas like Fort Lee — where trucks spew exhaust as they cross the George Washington Bridge — will apparently get some money from the Metropolitan Transportation Authority to offset increased pollution driven by congestion pricing tolls.

Janno Lieber, CEO of the MTA, told reporters Wednesday, “The way all of this is determined is allocation — the number of people who are in areas impacted by additional truck traffic. And New Jersey will get its share, exactly on the arithmetic.” Lieber offered no specifics.

“You know, when he talks about arithmetic, I take that with a grain of salt, because their ability to manage money and do math and balance a budget over the MTA has certainly been challenging,” said Bergen County Executive Jim Tedesco. Bergen County joined Gov. Phil Murphy’s federal lawsuit against the MTA seeking a new, full environmental impact study that would show how badly trucks seeking to evade higher tolls will degrade the air quality in north Jersey. They say congestion pricing offers millions of dollars for pollution mitigation in areas like the Bronx but guarantees nothing for Bergen or Hudson counties.

Lieber said the MTA has sent updated information to Federal Highway Administration officials. But Tedesco said that won’t impact the lawsuit.

“This means really nothing to me, and certainly a few pennies on the dollar are not going to change our position,” Tedesco said. “I’m advocating on behalf of the people of Bergen County and the people of north Jersey and actually even the people of New York and we’re going to continue down the path and continue to fight.”

But does the MTA’s signal that it will share revenues with New Jersey change the legal landscape?

“I think that cuts the legs out of New Jersey’s strongest claim in the case,” John Reichman, attorney for Environmental Advocates, said. Reichman, who filed an amicus brief for environmentalists who support congestion pricing, said the MTA is following proper steps to obtain final federal approval of its environmental assessment. The plan includes a list of $45 million in possible pollution mitigation projects like the planting of roadside vegetation, renovation of parks and installation of air filters in schools near highways.

Melissa Miles of New Jersey Environmental Justice Alliance said while New Yorkers have a right to cleaner air, New Jersey towns shouldn’t have to breathe the displaced pollution.

“We don’t want the emissions, we don’t want the extra cars, the money is secondary. So this is really an issue for folks here in New Jersey,” Miles said.

A ruling on the congestion pricing lawsuit is expected in June, the same month the MTA hopes to start collecting tolls.