AoPS: Jewellery Design

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10 silver beads and 10 gold beads are arranged randomly on a necklace.

Is it always possible to make one straight line cut that divides the necklace into two pieces that each have 5 silver and 5 gold beads?

AoPS, Art of Problem Solving, Education, Maths, Maths Challenge, Maths Problem Solving, Puzzle For The Day, School, Word ProblemsSarah NorrisLando EducationAoPS, Art of Problem Solving, maths problem of the day, maths, Maths challnege, maths puzzles, mathematical puzzles, maths homework, mathematics, maths challenge, UK Maths Trust, school, UKMT, UKMT JMC, UKMT IMC, UKMT SMT, UKMT Olympiad, Olympiad, maths olympiad, maths training, Lando, Lando Education, tutoringComment