{"id":21201,"date":"2021-01-29T10:42:44","date_gmt":"2021-01-29T09:42:44","guid":{"rendered":"http:\/\/futurelab-aachen.de\/?p=21201"},"modified":"2021-01-29T10:42:44","modified_gmt":"2021-01-29T09:42:44","slug":"one-of-alcuins-math-puzzles","status":"publish","type":"post","link":"https:\/\/futurelab-aachen.de\/en\/one-of-alcuins-math-puzzles\/","title":{"rendered":"One of Alcuin&#8217;s math puzzles"},"content":{"rendered":"<h4>A pig farmer wants to buy 100 pigs with 100 shilling. Now a boar costs ten shillings, a sow costs five shillingsand two piglets can be bought for one shilling.&#8221; How many boars, sows, and piglets can the pig farmer buy so that he spends all his money?<\/h4>\n<p><!--more--><\/p>\n<p>SOLUTION:<\/p>\n<p>The buyer has bought one boar (b), nine sows (s) and 90 piglets (p): from the linear system of equations <em>b + s + 2p = 100<\/em>; <em>10b + 5s + p = 100<\/em>, it follows that <em>19b + 9s = 100<\/em>, whose only solution is that <em>b = 1, s = 9<\/em>.<\/p>\n<p>The oldest collection of mathematical problems in Latin was probably written by Alcuin (735-804 AD). The greatest scholar of his time was not only Charlemagne&#8217;s most important political advisor, but also the Headmaster of the Aachen Court School. 53 of his puzzles are compiled in the &#8220;Propositiones&#8221;.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A pig farmer wants to buy 100 pigs with 100 shilling. Now a boar costs ten shillings, a [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":20814,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_lmt_disableupdate":"","_lmt_disable":"","footnotes":""},"categories":[81],"tags":[],"class_list":["post-21201","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gute-frage-en"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>One of Alcuin&#039;s math puzzles - Future Lab Aachen<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/futurelab-aachen.de\/en\/one-of-alcuins-math-puzzles\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"One of Alcuin&#039;s math puzzles - Future Lab Aachen\" \/>\n<meta property=\"og:description\" content=\"A pig farmer wants to buy 100 pigs with 100 shilling. 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