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Revenue from the dime-a-drink tax was marked for health programs. However, the Senate tax would go into the general fund and perhaps include some health initiatives.

Sen. Richard S. Madaleno Jr., Montgomery Democrat, said the added tax revenue would be largely used to fund health programs.

“There are growing health needs,” said Mr. Madaleno, a member of the Senate Budget and Taxation Committee. “There seems to be a strong nexus between this source of funding and the programs that need assistance.”