Library / /11 of 122

, 2016

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

Twelve girls met in a cafe. On average, they ate $1\frac{1}{2}$ cupcakes each, although no cupcakes were actually divided. None of them ate more than two cupcakes and two of them ate no cupcakes at all. How many girls ate two cupcakes?

(A) $2$ (B) $5$ (C) $6$ (D) $7$ (E) $8$

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.