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I'm new here (not new to math) and I got a different answer to only the second puzzle I encountered, "Making Ends Meet". Your answer (or Steve Froggatt's) seems to me to "make a simple thing complicated"... Why not add up all the possible whole candles, 34 + (50/7) = 41-1/7 or 41.142857, then multiply by 7/6ths [getting total qty of ends, then dividing by the usage rate per candle]. This yields 48 candles. Of course, on the last evening, with the only slightly shorter candle, she will have to eat a little faster, skip dessert, or let the candle burn right to the end!
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