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Logic Problems for Money Minds Competition

Congratulations to our final book winner: Ingrid Baas, Lower Hutt.

The answers to last month's questions were:
Q1. If the Manchester Quartet can play Schubert's String Quartet No. 14 in 36 minutes, how quickly can the Birmingham Trio play it?
A. Also in 36 minutes. The time it takes to play does not depend on the number of players.

Q2. A homeless street-dweller can make a completely new cigarette out of every 4 cigarette ends he finds. If he collects 32 ends one morning, having started with none, how many whole cigarettes can he smoke that day?
A. He can smoke 10 cigarettes that day. He can make 8 new cigarettes out of the 32 ends. After smoking those 8, he is left with 8 new ends, from which he can fashion 2 further cigarettes, making 10 in total.

Q3. You are the janitor of a new hotel. The proprietor has asked you to buy numbers to fix to the doors of the rooms. There are 100 rooms in the hotel, numbered 1-100.
How many number 9s do you need for the doors?
A. You need twenty 9's.