shrive555 wrote:

Joan has 100 candies to distribute among 10 children. If each child receives at least 1 candy and no two children receive the same number of candies, what is the maximum number of candies that a child can receive?

10

34

39

45

55

To maximize the number of candies a child gets, we will need to minimize the number that the other 9 get.

Child 1 : We give him 1 because thats the minimum we can give

Child 2 : We can't give 1 (since number has to be unique). So we give 2

Child 3 : We can't give 1 or 2, so we give 3

....

Child 9 : We can't give 1,2,3,..,8. So we give 9

So total distributed so far = 1+2+3+...+9 = 9(10)/2 =45

The rest we give to child 10, which is the maximum possible, and is 100-45 or 55.

Answer is (e)
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