Considering that most FB Rogers products are silver-plated rather than sterling, probably very little. Check for the pattern number (not 1883, which is part of the maker's mark). The hollow ware sterling registered pattern numbers are 118, 142, 144, 149, 164, 250, 400, 700 and 1636.
You will need to get the flatware weighed and appraised locally to determine the scrap value. You may want to check eBay to determine if the flatware is worth more sold at auction than for its silver content.
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