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Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

To save money, Scrooge is reusing tea bags. After a first 'decent' cup of tea, he dries the bag and uses two such dried bags to make a new 'decent' cup of tea. These bags are then dried again and four such bags now make a 'decent' cup of tea. After that they are put on the compost heap. How many 'decent' cups of tea can Scrooge get out of a new box of 120 tea bags?

(A) $480$ (B) $240$ (C) $210$ (D) $195$ (E) $180$

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