Mosiah 4:27

And see that all these things are done in wisdom and order; for it is not requisite that a man should run faster than he has strength. And again, it is expedient that he should be diligent, that thereby he might win the prize; therefore, all things must be done in order.

The Lord's plan for caring for the poor is organized. He is not talking about giving to every panhandler, but to give in an organized and sustainable way. The "fast offering" is the order by which the Latter-day Saints keep this commandment. Once a month we fast for two meals and give the equivalent, or more, to the church to use to help the poor. When I was in high school and my dad was laid up in the VA hospital for a year, we needed help from the church, and it came through the fast offerings. I know this program works.

Mosiah 4:26

And now, for the sake of these things which I have spoken unto you—that is, for the sake of retaining a remission of your sins from day to day, that ye may walk guiltless before God—I would that ye should impart of your substance to the poor, every man according to that which he hath, such as feeding the hungry, clothing the naked, visiting the sick and administering to their relief, both spiritually and temporally, according to their wants.

Works and faith are tied together. If we want peace from God, we must serve his children, and especially the poor. We don't have to give everything, just what we can afford. But we are expected to be generous, because we expect God to be generous with us.