Did you weigh a box of tiles? I bet they are not as heavy as you think. And carpet is far heavier than you might realize. I doubt the difference in weight would be significant. Personally I'd go with tile and throw down an area rug if you need a softer, warmer area to walk on.
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Chuck
2013 Jayco Jayfeather X20 E (sold)
2016 Chevy Silverado LTZ 2 Z71 Crew Cab (sold, and dearly missed)
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