SOLUTION: a woman with a basket of eggs finds that if she removes the eggs from the basket either two, three, four, five, or six at a time, there is always one egg left.however, if she remov

Question 355674: a woman with a basket of eggs finds that if she removes the eggs from the basket either two, three, four, five, or six at a time, there is always one egg left.however, if she removes the eggs by seven at a time, there are no eggs left. if the basket holds at least 300 eggs, how many eggs are in the woman's basket?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
she has to have a minimum of 300 eggs.
300 / 7 = 42.something
42*7 = 294
294 + 7 = 301
she has to have at least 301 eggs.
all the other number have to divide evenly into 300
7 needs to divide evenly into 301
301/7 = 43
300/6 = 50
300/5 = 60
300/4 = 75
300/3 = 100
300/2 = 150

Your number is 301.

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