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Can you explain the strategy for winning this game with any target?

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Roses and Carnations

Age 11 to 14 Short Challenge Level:

Class 7H has collected £56 to buy a bunch of flowers for their teacher.

Roses cost £3 each and carnations cost £2 each. 

Assuming they spend all of their money, how many different possible bunches do they have to choose from? 


This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.