### Brain Teasers

# Madadian Kebabrie Cheese

Mad Ade's Great Uncle Gaseous O' Windpants owned the Madadian Grocery store "The Beggars Can't Be Choosers". Madadia was well renowned for its pungent cheeses, especially its "Kebabrie" and "Chillirella".

On display in the store were six cheese pieces weighing 15, 16, 18, 19 , 20 and 31 Pounds. Five out of the six pieces are "Kebabrie" and the remaining one is "Chillirella".

Norma Leigh-Sobar purchased two pieces of "Kebabrie" and Laura Anne-Hardy also purchased some "Kebabrie" , but she purchased twice as much in weight than Norma .

How much does the remaining "Chillirella" weigh?

On display in the store were six cheese pieces weighing 15, 16, 18, 19 , 20 and 31 Pounds. Five out of the six pieces are "Kebabrie" and the remaining one is "Chillirella".

Norma Leigh-Sobar purchased two pieces of "Kebabrie" and Laura Anne-Hardy also purchased some "Kebabrie" , but she purchased twice as much in weight than Norma .

How much does the remaining "Chillirella" weigh?

### Answer

Norma Leigh-Sobar must have purchased at least 31 pounds and so Laura Anne-Hardy must have bought three wedges since the two heaviest wedges together only total 51 pounds.Since Laura bought twice what Norma bought, the total amount of cheese bought by the two together equals 3 times that purchased by Norma alone. Now, the total weight of all the wedges at the grocery divided by 3 leaves a remainder of 2, so the "Chillirella" wedge must leave a remainder of 2 when divided by 3. But the only such wedge is the 20 pound wedge, thus the "Chillirella" wedge must have weighed 20 pounds.

Thus Norma purchased the 15 and 18 pound pieces which equals 33 pounds and Laura purchased the 16, 19 and 31 pound pieces which equals 66 pounds.

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