{"id":4752,"date":"2022-09-02T13:16:21","date_gmt":"2022-09-02T11:16:21","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/slovni-ulohy-priklad-1-procenta\/"},"modified":"2022-09-02T13:40:30","modified_gmt":"2022-09-02T11:40:30","slug":"slovni-ulohy-priklad-1-procenta","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/slovni-ulohy-priklad-1-procenta\/","title":{"rendered":"Slovn\u00ed \u00falohy &#8211; p\u0159\u00edklad 1 (procenta)"},"content":{"rendered":"<p><strong>Zad\u00e1n\u00ed:<\/strong> Na filmov\u00e9m festivalu byly vy\u010dlen\u011bny pen\u00edze na odm\u011bny. Jedna \u010dtvrtina z celkov\u00fdch odm\u011bn byla vyplacena \u0161esti celebrit\u00e1m, zbytek mezi pracovn\u00edky festivalu (\u017e\u00e1dn\u00fd pracovn\u00edk festivalu nebyl z\u00e1rove\u0148 celebritou). Celebrity tvo\u0159ili 2,5 % v\u0161ech osob, kter\u00fdm byly vyplaceny odm\u011bny.<\/p>\n<p><strong>a) Jak\u00fd byl celkov\u00fd po\u010det osob, kter\u00fdm byly vyplaceny odm\u011bny?<\/strong><\/p>\n<p><strong> b) Kolikr\u00e1t byla pr\u016fm\u011brn\u00e1 odm\u011bna pro celebritu v\u011bt\u0161\u00ed, ne\u017e pr\u016fm\u011brn\u00e1 odm\u011bna pro pracovn\u00edka festivalu?<\/strong><\/p>\n<p><\/p>\n<p><strong>\u0158e\u0161en\u00ed:<\/strong><\/p>\n<p><em>P\u0159\u00edklad (a)<\/em><\/p>\n<p>1) Celebrity tvo\u0159ilo 6 osob, co\u017e je 2,5 % v\u0161ech lid\u00ed<\/p>\n<p>2) Celkem tak bylo na festivalu 100 % lid\u00ed, tedy 240<\/p>\n<p>Odm\u011bny dostalo celkem 240 osob.<\/p>\n<p><em>P\u0159\u00edklad (b)<\/em><\/p>\n<p>1) Celebrit bylo 6, pracovn\u00edk\u016f tak bylo 240-6 = 234<\/p>\n<p>2) 1 celebrita dostala 1\/6 z 1\/4 celkov\u00fdch odm\u011bn = 1\/24 z odm\u011bn<\/p>\n<p>3) 1 pracovn\u00edk dostal 1\/234 ze 3\/4 celkov\u00fdch odm\u011bn = 3\/936 = 1\/312 z odm\u011bn<\/p>\n<p>4) 1\/24 je 13 x v\u011bt\u0161\u00ed ne\u017e 1\/312<\/p>\n<p><strong>Pr\u016fm\u011brn\u00e1 mzda celebrity byla 13 x v\u011bt\u0161\u00ed ne\u017e pr\u016fm\u011brn\u00e1 mzda pracovn\u00edka.<\/strong><\/p>\n<p><\/p>\n<p>\u010casov\u00e1 n\u00e1ro\u010dnost: 4-5 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-4752","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 1 (procenta) | 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-1-procenta\/\" \/>\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 1 (procenta) | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Zad\u00e1n\u00ed: Na filmov\u00e9m festivalu byly vy\u010dlen\u011bny pen\u00edze na odm\u011bny. Jedna \u010dtvrtina z celkov\u00fdch odm\u011bn byla vyplacena \u0161esti celebrit\u00e1m, zbytek mezi pracovn\u00edky festivalu (\u017e\u00e1dn\u00fd pracovn\u00edk festivalu nebyl z\u00e1rove\u0148 celebritou). Celebrity tvo\u0159ili 2,5 % v\u0161ech osob, kter\u00fdm byly vyplaceny odm\u011bny. a) Jak\u00fd byl celkov\u00fd po\u010det osob, kter\u00fdm byly vyplaceny odm\u011bny? b) Kolikr\u00e1t byla pr\u016fm\u011brn\u00e1 odm\u011bna pro celebritu ... 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