Question 1161162
A woman with a basket of eggs finds that if she removes the eggs from a basket 3 or 7 at a time there is always one egg left
:
 However if she removes the eggs 5 at a time there are no eggs left.
the number of eggs has to be a multiple of 5
:
 If the basket holds up to 100 eggs how many eggs does she have?
Find a common multiple of 3 and 7 which is one less than a multiple of 5
 that would be 84, so 85 eggs would satisfy this requirement