A thrifty person saves candle stubs to form into new candles.............how many candles can possibly be made in total?

Question

A thrifty person saves candle stubs to form into new candles.

Seven stubs are needed to make each new candle.

If there are 241 stubs, how many candles can possibly be made in total?

Answer 1

241 stubs => 34 candles + 3 stubs => 34 candles made

4 candles + 9 stubs => 38 candles made
5 candles + 2 stubs => 39 candles made
0 candles + 7 stubs => 39 candles made
1 candle + 0 stubs => 40 candles made.

Comments

But those 3 left over after you've created 34 new candles are stubs, not candles.  There aren't 37 candles left to burn, there are 34 plus 3 stubs.
Once you've burned those 34, you can made 4 new candles (7*4=28) and you'll have 6 stubs left over.
Add the 6 stubs to the 3 stubs - and you can make one more candle, with 2 stubs left over.
That turns into an additional 39 candles, not 40.  
What am I missing?

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I made a mistake by assuming there were 241 candles instead.

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Thanks.  If it is any consolation, I only looked this up on line because a mensa quiz got the same answer.  Maybe the original version had 241 candles, not stubs.