{"id":2848,"date":"2022-04-17T22:18:21","date_gmt":"2022-04-17T21:18:21","guid":{"rendered":"https:\/\/duda.dk\/opgaver\/?p=2848"},"modified":"2026-03-15T16:16:14","modified_gmt":"2026-03-15T15:16:14","slug":"grubler007","status":"publish","type":"post","link":"https:\/\/duda.dk\/opgaver\/matematik\/grublerier\/grubler007\/","title":{"rendered":"Grubler 7: \u201cDen manglende krone\u201d"},"content":{"rendered":"<div class=\"wpb-content-wrapper\">[vc_row][vc_column][vc_tta_accordion section_title_tag=&#8221;h3&#8243; style=&#8221;flat&#8221; shape=&#8221;round&#8221; gap=&#8221;5&#8243; c_align=&#8221;center&#8221; c_icon=&#8221;triangle&#8221; active_section=&#8221;1&#8243;][vc_tta_section title=&#8221;Grubler 7: \u201cDen manglende krone\u201d&#8221; tab_id=&#8221;1644074699098-46fc58cb-a528&#8243;][vc_column_text font_weight=&#8221;semibold&#8221; font_size=&#8221;d:18|tl:18|tp:18|pl:18|pp:18&#8243;]\n<p style=\"text-align: center;\">Tre mand lejer det sidste v\u00e6relse p\u00e5 en kro. Prisen for v\u00e6relset er kr. 30, som de deler lige mellem sig. Efter at v\u00e6re blevet anvist til v\u00e6relset kommer krofatter i tanke om, at der er 5 kr. i rabat p\u00e5 netop det v\u00e6relse. S\u00e5 han sender sin medhj\u00e6lper op til de tre g\u00e6sters v\u00e6relse for at give dem pengene tilbage. Undervejs t\u00e6nker medhj\u00e6lperen, at det jo ikke vil v\u00e6re muligt for de tre mand at dele de kr. 5 imellem sig, s\u00e5 han stikker de 2 kr. i lommen og giver de sidste 3 kr. til g\u00e6sterne, som selvf\u00f8lgelig blot er glade for at f\u00e5 penge tilbage.<\/p>\n<p style=\"text-align: center;\">Nu er det imidlertid s\u00e5ledes, at v\u00e6relset koster kr. 25,-. G\u00e6sterne har betalt kr. 27,- for v\u00e6relset og medhj\u00e6lperen har beholdt de sidste 2 kr. Men hvad er der s\u00e5 blevet af den sidste krone? (27 + 2 = 29)<\/p>\n[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;L\u00f8sning&#8221; tab_id=&#8221;1644075126790-b0f3dfa2-b85a&#8221;][vc_column_text font_weight=&#8221;semibold&#8221; font_size=&#8221;d:18|tl:18|tp:18|pl:18|pp:18&#8243;]\n<p style=\"text-align: center;\">Der er ikke forsvundet 1 kr.<\/p>\n<p style=\"text-align: center;\">Prisen for v\u00e6relset er 25 kr. Der er betalt 30 kr., piccoloen beholder 2 kr. og giver 3 kr. tilbage til g\u00e6sterne. G\u00e6sterne har dermed betalt 27 kr. (30-3) for v\u00e6relset.<\/p>\n<p style=\"text-align: center;\">Krofatter har givet 5 kr. til piccoloen, og tjener dermed 25 kr. p\u00e5 v\u00e6relset. Piccoloen giver 3 kr. til g\u00e6sterne og opn\u00e5r en fortjeneste p\u00e5 2 kr. Den samlede fortjeneste svarer til krofatters og piccoloens indt\u00e6gt, dvs. 25 + 2 = 27 kr.<\/p>\n<p style=\"text-align: center;\">Da g\u00e6sterne netop har betalt 27 kr. g\u00e5r regnskabet op \u2013 der mangler ingen penge!<\/p>\n[\/vc_column_text][\/vc_tta_section][\/vc_tta_accordion][\/vc_column][\/vc_row][vc_row][vc_column]<style>.vcex-button.vcex_6a772c7e55cd5{border-radius:5px;}<\/style><div class=\"theme-button-wrap textcenter wpex-clr\"><a href=\"\/opgaver\/matematik\/grublerier\/\" class=\"vcex-button theme-button align-center inline hvr hvr-float-shadow vcex_6a772c7e55cd5\" title=\"Grublerier\"><span class=\"vcex-button-inner theme-button-inner wpex-flex wpex-flex-wrap wpex-items-center wpex-justify-center\"><span class=\"vcex-button-icon vcex-icon-wrap theme-button-icon-left\"><span aria-hidden=\"true\" class=\"fas fa-arrow-left\"><\/span><\/span>Til grublere<\/span><\/a><\/div> [\/vc_column][\/vc_row]\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_tta_accordion section_title_tag=&#8221;h3&#8243; style=&#8221;flat&#8221; shape=&#8221;round&#8221; gap=&#8221;5&#8243; c_align=&#8221;center&#8221; c_icon=&#8221;triangle&#8221; active_section=&#8221;1&#8243;][vc_tta_section title=&#8221;Grubler 7: \u201cDen manglende krone\u201d&#8221; tab_id=&#8221;1644074699098-46fc58cb-a528&#8243;][vc_column_text font_weight=&#8221;semibold&#8221; font_size=&#8221;d:18|tl:18|tp:18|pl:18|pp:18&#8243;] Tre mand lejer det sidste v\u00e6relse p\u00e5 en kro. Prisen for v\u00e6relset er kr. 30, som de deler lige mellem sig. Efter at v\u00e6re blevet anvist til v\u00e6relset kommer krofatter i tanke om, at der er 5 kr. i&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[45],"tags":[],"post_series":[],"class_list":["post-2848","post","type-post","status-publish","format-standard","hentry","category-grublerier","entry","no-media"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Grubler 7: \u201cDen manglende krone\u201d - DUDAs opgaver<\/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:\/\/duda.dk\/opgaver\/matematik\/grublerier\/grubler007\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Grubler 7: \u201cDen manglende krone\u201d - DUDAs opgaver\" \/>\n<meta property=\"og:description\" content=\"[vc_row][vc_column][vc_tta_accordion section_title_tag=&#8221;h3&#8243; style=&#8221;flat&#8221; shape=&#8221;round&#8221; gap=&#8221;5&#8243; c_align=&#8221;center&#8221; c_icon=&#8221;triangle&#8221; active_section=&#8221;1&#8243;][vc_tta_section title=&#8221;Grubler 7: \u201cDen manglende krone\u201d&#8221; tab_id=&#8221;1644074699098-46fc58cb-a528&#8243;][vc_column_text font_weight=&#8221;semibold&#8221; font_size=&#8221;d:18|tl:18|tp:18|pl:18|pp:18&#8243;] Tre mand lejer det sidste v\u00e6relse p\u00e5 en kro. 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