{"id":542,"date":"2019-01-23T09:58:28","date_gmt":"2019-01-23T14:58:28","guid":{"rendered":"http:\/\/josmfs.net\/?p=542"},"modified":"2024-04-15T12:27:12","modified_gmt":"2024-04-15T16:27:12","slug":"diluted-wine-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/01\/23\/diluted-wine-puzzle\/","title":{"rendered":"Diluted Wine Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3926\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Diluted-Wine-Puzzle-Fig2.jpg\" alt=\"\" width=\"200\" height=\"116\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Diluted-Wine-Puzzle-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Diluted-Wine-Puzzle-Fig2-300x174.jpg 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This was a rather intricate puzzle from Presh Talwalkar. I found his solution a bit hard to follow, so I tried for a clearer presentation.<\/p>\n<p>\u201cA servant has a method to steal wine. He removes 3 cups from a barrel of wine and replaces it with 3 cups of water. The next day he wants more wine, so he does the same thing: he removes 3 cups from the same barrel (now with diluted wine) and replaces it with 3 cups of water. The following day he repeats this one more time, so he has drawn 3 times from the same barrel and has poured back 9 cups of water. At this point the barrel is 50% wine and 50% water. How many cups of wine were originally in the barrel? \u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Diluted-Wine-Puzzle-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/01\/Diluted-Wine-Puzzle-190122.pdf\">Diluted Wine Puzzle<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This was a rather intricate puzzle from Presh Talwalkar. I found his solution a bit hard to follow, so I tried for a clearer presentation. \u201cA servant has a method to steal wine. He removes 3 cups from a barrel of wine and replaces it with 3 cups of water. The next day he wants [&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":[242,17],"class_list":["post-542","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-mixture-problems","tag-presh-talwalkar"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/542","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=542"}],"version-history":[{"count":6,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/542\/revisions"}],"predecessor-version":[{"id":3928,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/542\/revisions\/3928"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=542"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=542"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=542"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}