{"id":2300,"date":"2021-07-24T08:15:15","date_gmt":"2021-07-24T12:15:15","guid":{"rendered":"https:\/\/josmfs.net\/?p=2300"},"modified":"2024-04-07T14:55:35","modified_gmt":"2024-04-07T18:55:35","slug":"the-pearl-necklace-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2021\/07\/24\/the-pearl-necklace-problem\/","title":{"rendered":"The Pearl Necklace Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2297\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/07\/Pearl-Necklace-Prob-fig2.jpg\" alt=\"\" width=\"201\" height=\"118\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/07\/Pearl-Necklace-Prob-fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/07\/Pearl-Necklace-Prob-fig2-300x176.jpg 300w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/>This problem comes from the Scottish Mathematical Council (SMC) Senior Mathematical Challenge of 2008:<\/p>\n<p><strong>\u201cS2. <\/strong>In Tiffany\u2019s, a world famous jewellery store, there is a string necklace of 33 pearls. The middle one is the largest and most valuable. The pearls are arranged so that starting from one end, each pearl is worth $100 more than the preceding one, up to [and including] the middle one; and starting from the other end, each pearl is worth $150 more than the preceding one, up to [and including] the middle one. If the total value of the necklace is $65,000 what is the value of the largest pearl?\u201d<\/p>\n<p>I included the words in brackets to erase any ambiguity.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Pearl-Necklace-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/07\/Pearl-Necklace-Problem-210329.pdf\">Pearl Necklace Problem<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This problem comes from the Scottish Mathematical Council (SMC) Senior Mathematical Challenge of 2008: \u201cS2. In Tiffany\u2019s, a world famous jewellery store, there is a string necklace of 33 pearls. The middle one is the largest and most valuable. The pearls are arranged so that starting from one end, each pearl is worth $100 more [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[133,221],"class_list":["post-2300","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-smc-challenge"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2300","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=2300"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2300\/revisions"}],"predecessor-version":[{"id":3672,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2300\/revisions\/3672"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2300"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2300"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2300"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}