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“If it hadn’t been spent before Thursday’s storm, that storm will consume what remained,” said Pedro Ribero, spokesman for Mayor Vincent C. Gray.

The District has mobilized its snow-removal team more than 20 times this winter and gone through more than 35,000 tons of salt to treat the roadways, Ms. Grant said.

Snowfall this winter has topped 15 inches, according to the National Weather Service. During the 2009-10 winter when 56 inches fell on the region, the city spent $25 million on snow removal.

The sheer volume of snow and the heavy-duty equipment needed to clear it ran up the costs of snow removal in a way that hasn’t happened this year, making it unlikely that the budget overruns will be anywhere near as pronounced.

In the meantime, Ms. Grant said, officials are trying other ways to ward off snow-related budget overruns.

“We’re telling everyone we know to think warm thoughts,” she said.