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Somerville has received a $100,000 grant for a pilot program designed to help young adults gain work experience and improve the lives of lower-income residents. The city is one of six in Massachusetts to receive the grant as part of the Working Cities Challenge, which is a program led by the Federal Reserve Bank of Boston. Somerville applied for the grant to support a program called Pocket Change, which will focus on giving low-income and low-skilled residents from 18 to 24 years old a chance to gain experience at different nonprofit organizations in the city. According to the city, there are about 9,700 residents in the 18-to-24 age bracket in Somerville, and more than 40 percent of them are classified as either low-income or very low-income. Other cities to receive the grant are Lawrence, Fitchburg, Holyoke, Chelsea, and Salem.