If a farmer buys chicken feed for 57c per tonne, pig feed for $1.52 per tonne and cattle feed for 43c per tonne. The feed can only be purchased by the tonne, and part tonnes aren't sold.
How much of each would he have if they had 100 tonnes for $100?
Reasoning There are 62 squares of size 1 x 1. There are 41 squares of size 2 x 2. There are 18 squares of size 3 x 3. There are 6 squares of size 4 x 4. There is 1 square of size 5 x 5.
Giving a total of 62 + 41 + 18 + 6 + 1 = 128 squares.
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Puzzle 3
Three people check into a hotel.
They pay £30 to the manager and go to their room.
The manager suddenly remembers that the room rate is £25 and gives £5 to the porter to return to the people.
On the way to the room the porter reasons that £5 would be difficult to share among three people so they keep £2 and give £1 to each person.
Now each person paid £10 and got back £1.
So they paid £9 each, totalling £27. The porter has £2, totalling £29.