{"id":6584,"date":"2011-03-09T21:34:44","date_gmt":"2011-03-09T21:34:44","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6584"},"modified":"2022-01-19T21:49:47","modified_gmt":"2022-01-19T21:49:47","slug":"o-maior-numero-de-cestos","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6584","title":{"rendered":"O maior n\u00famero de cestos"},"content":{"rendered":"<p><ul id='GTTabs_ul_6584' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6584' class='GTTabs_curr'><a  id=\"6584_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6584' ><a  id=\"6584_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_6584'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Determina o maior n\u00famero de cestos que se pode encher com 180 ma\u00e7\u00e3s e 252 laranjas, levando todos os cestos igual n\u00famero de pe\u00e7as de fruta de cada qualidade.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6584' onClick='GTTabs_show(1,6584)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6584'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Como:<\/p>\n<p>$\\begin{matrix}<br \/>\n180 &amp; 2 &amp; {} &amp; {} &amp; 252 &amp; 2\u00a0 \\\\<br \/>\n90 &amp; 2 &amp; {} &amp; {} &amp; 126 &amp; 2\u00a0 \\\\<br \/>\n45 &amp; 3 &amp; {} &amp; {} &amp; 63 &amp; 3\u00a0 \\\\<br \/>\n15 &amp; 3 &amp; {} &amp; {} &amp; 21 &amp; 3\u00a0 \\\\<br \/>\n5 &amp; 5 &amp; {} &amp; {} &amp; 7 &amp; 7\u00a0 \\\\<br \/>\n1 &amp; {} &amp; {} &amp; {} &amp; 1 &amp; {}\u00a0 \\\\<br \/>\n\\end{matrix}$<\/p>\n<p>$180={{2}^{2}}\\times {{3}^{2}}\\times 5$<br \/>\n$252={{2}^{2}}\\times {{3}^{2}}\\times 7$<\/p>\n<p>Ent\u00e3o, $m.d.c.(180,252)={{2}^{2}}\\times {{3}^{2}}=36$.<\/p>\n<p>Podem-se encher 36 cestos com igual n\u00famero de pe\u00e7as de fruta de cada qualidade.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6584' onClick='GTTabs_show(0,6584)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Determina o maior n\u00famero de cestos que se pode encher com 180 ma\u00e7\u00e3s e 252 laranjas, levando todos os cestos igual n\u00famero de pe\u00e7as de fruta de cada qualidade. Resolu\u00e7\u00e3o &gt;&gt;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20689,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,137,97],"tags":[139],"series":[],"class_list":["post-6584","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-ainda-os-numeros","category-aplicando","tag-m-d-c"],"views":2125,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/8V1Pag099-6_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6584","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6584"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6584\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20689"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6584"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6584"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6584"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6584"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}