Elizabeth has a lot of jewelry. She has four times as many earrings as watches but half the number of necklaces as earrings. Eli zabeth has the same number of necklaces as bracelets. If Elizabeth has 117 pieces of jewelry, has many earrings does she have
1 answer:
Given: Total number of pieces: 117 watch = x earrings = four times as many earring as watches = 4x necklaces = half the number of necklaces as earrings = 1/2 * 4x = 2x bracelets = necklaces = 2x x + 4x + 2x + 2x = 117 9x = 117 x = 117/9 x = 13 watches: x = 13 earrings: 4x = 4(13) = 52 necklaces: 2x = 2(13) = 26 bracelets: 2x = 2(13) = 26 13 + 52 + 26 + 26 = 117 There are 13 watches, 52 earrings, 26 necklaces, and 26 bracelets.
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