{"id":3309,"date":"2023-09-02T09:22:17","date_gmt":"2023-09-02T13:22:17","guid":{"rendered":"https:\/\/josmfs.net\/?p=3309"},"modified":"2024-04-05T13:01:18","modified_gmt":"2024-04-05T17:01:18","slug":"language-students-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2023\/09\/02\/language-students-puzzle\/","title":{"rendered":"Language Students Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3307\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/09\/Language-Students-Fig2.jpg\" alt=\"\" width=\"200\" height=\"164\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/09\/Language-Students-Fig2.jpg 500w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/09\/Language-Students-Fig2-300x246.jpg 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is a slightly challenging problem from Dan Griller.<\/p>\n<p>\u201cEvery pupil at the Euler Academy studies French or Spanish.\u00a0 At the start of the year, one third of the French students also studied Spanish, and 2 fifths of the Spanish students also studied French.\u00a0 After one term, six of the double-linguists dropped French, so that now only a quarter of the French students study Spanish.\u00a0 How many pupils are at the Euler Academy?\u201d<\/p>\n<p>Just to be clear, \u201cFrench students\u201d means Euler Academy pupils studying French, and similarly for \u201cSpanish students.\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Language-Students-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/09\/Language-Students-Puzzle-230527.pdf\">Language Students Puzzle<\/a> for solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a slightly challenging problem from Dan Griller. \u201cEvery pupil at the Euler Academy studies French or Spanish.\u00a0 At the start of the year, one third of the French students also studied Spanish, and 2 fifths of the Spanish students also studied French.\u00a0 After one term, six of the double-linguists dropped French, so that [&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":[133,255],"class_list":["post-3309","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-dan-griller"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3309","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=3309"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3309\/revisions"}],"predecessor-version":[{"id":3524,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3309\/revisions\/3524"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=3309"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=3309"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=3309"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}