I have first hand knowledge of this, as I saw the checks and food orders* that went out and went personally with our Bishop at times. We almost never just hand people money but rather pay for bills and rent. But, since you can never believe random people on Slashdot, according to that article I linked to:
"That spirit of generosity funds a vast private welfare system, one that serves hundreds of thousands of people each year. This welfare system serves mostly—but not exclusively—fellow Latter-day Saints who are in need. It is intended for people who have lost their jobs, who have been injured, or whose families are going through some other kind of hardship. Self-sufficiency is at the heart of its mission—both for the givers and receivers."
In essence, Mormons believe that if you are going to call yourself a Christian, you must follow His example. Giving of yourself, your time and your resources to "mourn with those that mourn and comfort those in need of comfort" is central. The Book of Mormon is very explicit about this need of helping the poor.
By the way, thank you for the respectful way that you asked your question. Most of the time we don't get that, and it never hurts to ask an honest question. There are some people who dislike our church for various reasons and spread FUD whenever they can. I will never mock atheists for what they believe, because at one point in my life I pretty much was an atheist. I can see how one could arrive at that conclusion. If you are curious, prayer brought me back.
* Food orders come from the Bishop's Storehouse. Basically after you speak to the Bishop, you then speak to a woman who represents what we call the Relief Society. She talks with you about your needs, and fills out a form indicating that you need, say, five pounds of fruit, two loaves of bread, a Turkey, 10 cans of soup, a jar of peanut butter, two cans of peaches, a broom, diapers, etc., then you go to the Bishop's Storehouse where a volunteer helps you fill out your order. No money is exchanged. If you look at the picture in the article, you will see President Reagan talking with two men. One of the men is former LDS Leader Gordon B. Hinkley. Anyway, there is a sign behind them that says "Deseret The Brand Money Can't Buy"