Maths Olympiad Prep

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Problem 371

Algebra Difficulty 2.0 Find the answer UKMT Grey Kangaroo · United Kingdom · 2016

Petra has 4949 blue beads and one red bead. How many beads must Petra remove so that 90%90\% of her beads are blue?

(A) 44 (B) 1010 (C) 2929 (D) 3939 (E) 4040

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