Pooja has 1152 red beads and 1600 white beads. She strings them into necklaces so that every necklace has the same number of red beads and the same number of white beads, using all beads and making as many necklaces as possible. How many beads (red and white together) are on each necklace?

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Accepted Answer

43. Number of necklaces = HCF(1152, 1600) = 64 (1152 = 2^7 × 3^2, 1600 = 2^6 × 5^2). Each necklace has 1152 ÷ 64 = 18 red and 1600 ÷ 64 = 25 white, i.e. 43 beads.

Pooja has 1152 red beads and 1600 white beads. She strings them into necklaces so that every necklace has the same number of red beads and the same number of white beads, using all beads and making as many necklaces as possible. How many beads (red and white together) are on each necklace?

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