Alex is given £1 by his grandfather and decides:
(i) to spend at least one third of the £1 on toffees at 5p each; (ii) to spend at least one quarter of the £1 on packs of bubblegum at 3p each; and (iii) to spend at least one tenth of the £1 on jellybeans at 2p each.
He only decides how to spend the rest of the money when he gets to the shop, but he spends all of the £1 on toffees, packs of bubblegum and jellybeans.
What are the possibilities for the number of jellybeans that he buys?
Input note: list all possibilities separated with commas.
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Hamilton Mathematical Olympiad 2016 (2016)
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