{"id":4767,"date":"2022-09-02T14:14:34","date_gmt":"2022-09-02T12:14:34","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/slovni-ulohy-priklad-3-trojclenka\/"},"modified":"2022-09-02T14:14:34","modified_gmt":"2022-09-02T12:14:34","slug":"slovni-ulohy-priklad-3-trojclenka","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/slovni-ulohy-priklad-3-trojclenka\/","title":{"rendered":"Slovn\u00ed \u00falohy &#8211; p\u0159\u00edklad 3 (troj\u010dlenka)"},"content":{"rendered":"<p><strong>Zad\u00e1n\u00ed:<\/strong> Obchodn\u00ed \u0159et\u011bzec si na 13 t\u00fddn\u016f v l\u00e9t\u011b objednal vejce od 2 farm\u00e1\u0159\u016f &#8211; Marka a Petra.<br \/>Marek \u0159et\u011bzci&nbsp;prod\u00e1val t\u00fddn\u011b o p\u011btinu vajec v\u00edce ne\u017e Petr.<br \/>Ka\u017ed\u00fd pracovn\u00ed den prodal Marek \u0159et\u011bzci p\u011btinu sv\u00e9ho t\u00fddenn\u00edho prodeje, tedy 600 vajec.<br \/>&nbsp; <br \/><strong>Rozhodn\u011bte, zda jsou n\u00e1sleduj\u00edc\u00ed tvrzen\u00ed pravdiv\u00e1:<\/strong><br \/>a) Petr prod\u00e1val \u0159et\u011bzci ka\u017ed\u00fd t\u00fdden o 20 % m\u00e9n\u011b vajec ne\u017e Marek.<br \/>b) Petr prod\u00e1val \u0159et\u011bzci ka\u017ed\u00fd t\u00fdden o 500 vajec m\u00e9n\u011b ne\u017e Marek.<br \/>c) Marek s Petrem prod\u00e1vali \u0159et\u011bzci dohromady 5 500 vajec t\u00fddn\u011b.<br \/>d) Za 13 letn\u00edch t\u00fddn\u016f prodal Marek \u0159et\u011bzci o 20 % vajec v\u00edce ne\u017e Petr.<\/p>\n<p><br data-mce-bogus=\"1\"><\/p>\n<p><strong>\u0158e\u0161en\u00ed:<\/strong><\/p>\n<p>1) Nejd\u0159\u00edve si vypo\u010d\u00edt\u00e1me, kolik vajec t\u00fddn\u011b prod\u00e1v\u00e1 Petr<br \/>Marek&#8230;. 3 000 vajec t\u00fddn\u011b<br \/>Petr&#8230;&#8230;.. (6\/5)x = 3 000$$<br \/>Petr&#8230;&#8230;..x = 2500 vajec t\u00fddn\u011b<br \/>2) <strong>(a) NE, Petr neprod\u00e1v\u00e1 o 20 % m\u00e9n\u011b vajec ne\u017e Marek<\/strong><br \/>3000 &#8230;. 100%<br \/>2500 &#8230;. x %<br \/>$$\\frac{x}{100} = \\frac{2500}{3000}$$<br \/>$$x = 83,\\overline{3}%$$<br \/>3) <strong>(b) ANO, Petr prod\u00e1v\u00e1 o 500 vajec t\u00fddn\u011b m\u00e9n\u011b ne\u017e Marek<\/strong><br \/>3 000 &#8211; 2 500 = 500<br \/>4) <strong>(c) ANO, Petr a Marek dohromady t\u00fddn\u011b prodaj\u00ed 5 500 vajec<\/strong><br \/>3000 + 2500 = 5 500<br \/>5) <strong>(d) ANO, za 13 letn\u00edch t\u00fddn\u016f prodal Marek \u0159et\u011bzci o 20 % vajec v\u00edc<\/strong><br \/>32 500 &#8230;. 100 %<br \/>39 000 &#8230;. y % <br \/>$$\\frac{y}{100} = \\frac{39000}{32500}$$<br \/>y = 120 %<\/p>\n<p>\u010casov\u00e1 n\u00e1ro\u010dnost: 5-6 minut<\/p>\n<p>Jedn\u00e1 se o p\u0159\u00edklad z maturitn\u00edho testu.<\/p>\n","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-4767","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Slovn\u00ed \u00falohy - p\u0159\u00edklad 3 (troj\u010dlenka) | Studijni-svet.cz<\/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:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/slovni-ulohy-priklad-3-trojclenka\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Slovn\u00ed \u00falohy - p\u0159\u00edklad 3 (troj\u010dlenka) | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Zad\u00e1n\u00ed: Obchodn\u00ed \u0159et\u011bzec si na 13 t\u00fddn\u016f v l\u00e9t\u011b objednal vejce od 2 farm\u00e1\u0159\u016f &#8211; Marka a Petra.Marek \u0159et\u011bzci&nbsp;prod\u00e1val t\u00fddn\u011b o p\u011btinu vajec v\u00edce ne\u017e Petr.Ka\u017ed\u00fd pracovn\u00ed den prodal Marek \u0159et\u011bzci p\u011btinu sv\u00e9ho t\u00fddenn\u00edho prodeje, tedy 600 vajec.&nbsp; Rozhodn\u011bte, zda jsou n\u00e1sleduj\u00edc\u00ed tvrzen\u00ed pravdiv\u00e1:a) Petr prod\u00e1val \u0159et\u011bzci ka\u017ed\u00fd t\u00fdden o 20 % m\u00e9n\u011b vajec ne\u017e ... 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