math
posted by Tricia .
Katie had a pack of twenty four cards numbered 1 24. She arranged the cards into 6 piles. No more than 2 piles had the same number of cards the numbers on the cards in each pile added to the same total. What was the total and how could this be solved

24 + 23 + 22 + 21 + . . . + 2 + 1 =
This is the sum of all the cards in the deck. This sum has to be evenly divided by the numbers of piles, so divide this number by 6, and that is your answer. 
but what about the quantity of cards in each pile? figuring out that each pile adds up to 50 is the easy part!