Proposal for Math lesson on May 21 2010

1. How many apples were on the table?

3 brothers asked their mother to leave apples on the dinner table and went to sleep. The eldest brother woke up, found apples on the table, ate 1/3 of them and went back to bed. The middle brother woke up, found apples on the table, ate 1/3 of them and went back to bed. The youngest brother woke up, found apples on the table, ate 1/3 of them. Then he woke up two brothers and offered them to finish eating 24 apples that were at the table.
How many apples were on the table originally?

2. Magic quadrant
Imagine a quadrant 5x5 (5 columns & 5 rows). Each number 1, 2, 3, 4, 5 is repeated 5 times. In each row has only one occurrence of each number and in each column has one occurrence of each number. Draw this quadrant.

3. Stamps
Jane purchased 3 stamps: one from the USA, second from France, and third from Italy.
The sum of the stamps without USA stamp is $13. The sum of the stamps without Italian stamp is $11. The sum of all stamps without French stamp is $12.
How much does each stamp cost?

4. Garages
This problem is similar to the 'shelves' problem we had a couple of months ago.
There are two huge garages. The number of cars in both garages is equal to 22. First garage has 8 cars less than the second garage.
How many cars are in each garage?