Candies

In a class, there are a number of students and each has a number of candies:
There are exactly 10 children with at least one candy,
Exactly 8 children with at least two candies,
Exactly 6 children with at least 3,
Exactly 4 children with at least 4,
And exactly 2 children with 5 candies.
It is known that no one has more than 5 candies. How many candies are there in the class?

Difficulty level (1 very easy - 10 very hard): 1

Topics:
Arithmetic Algebra -> Word Problems
Sources:
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