{"id":26049,"date":"2023-05-25T13:07:05","date_gmt":"2023-05-25T12:07:05","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=26049"},"modified":"2023-05-25T14:51:49","modified_gmt":"2023-05-25T13:51:49","slug":"iguanas-e-araras","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=26049","title":{"rendered":"Iguanas e araras"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_26049' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_26049' class='GTTabs_curr'><a  id=\"26049_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_26049' ><a  id=\"26049_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_26049'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Num espet\u00e1culo no jardim zool\u00f3gico, em que entram <a href=\"https:\/\/pt.wikipedia.org\/wiki\/Iguana\" target=\"_blank\" rel=\"noopener\">iguanas<\/a> e <a href=\"https:\/\/pt.wikipedia.org\/wiki\/Arara\" target=\"_blank\" rel=\"noopener\">araras<\/a>, contamos 36 patas e 15 cabe\u00e7as.<\/p>\n<p>Quantas iguanas e quantas araras est\u00e3o no espet\u00e1culo?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_26049' onClick='GTTabs_show(1,26049)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_26049'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Num espet\u00e1culo no jardim zool\u00f3gico, em que entram <a href=\"https:\/\/pt.wikipedia.org\/wiki\/Iguana\" target=\"_blank\" rel=\"noopener\">iguanas<\/a> e <a href=\"https:\/\/pt.wikipedia.org\/wiki\/Arara\" target=\"_blank\" rel=\"noopener\">araras<\/a>, contamos 36 patas e 15 cabe\u00e7as.<\/p>\n<p>Quantas iguanas e quantas araras est\u00e3o no espet\u00e1culo?<\/p>\n<\/blockquote>\n<p>\u00a0<\/p>\n<p>Designemos por <em>i<\/em> o n\u00famero de iguanas e por <em>a<\/em> o n\u00famero de araras.<\/p>\n<p>Equacionando e resolvendo o sistemas de equa\u00e7\u00f5es, temos: \\[\\begin{array}{*{20}{l}}{\\left\\{ {\\begin{array}{*{20}{l}}{4i + 2a = 36}\\\\{i + a = 15}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{i = 15 &#8211; a}\\\\{4\\left( {15 &#8211; a} \\right) + 2a = 36}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{i = 15 &#8211; a}\\\\{60 &#8211; 4a + 2a = 36}\\end{array}} \\right.}&amp; \\Leftrightarrow \\\\{}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{2a = 24}\\\\{i = 15 &#8211; a}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{a = 12}\\\\{i = 3}\\end{array}} \\right.}&amp;{}\\end{array}\\]<\/p>\n<p>Portanto, est\u00e3o no espet\u00e1culo 12 araras e 3 iguanas.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-14.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"26054\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=26054\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-14.png\" data-orig-size=\"600,450\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag204-14\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-14.png\" class=\"aligncenter wp-image-26054\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-14-300x225.png\" alt=\"\" width=\"520\" height=\"390\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-14-300x225.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-14.png 600w\" sizes=\"auto, (max-width: 520px) 100vw, 520px\" \/><\/a><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_26049' onClick='GTTabs_show(0,26049)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Num espet\u00e1culo no jardim zool\u00f3gico, em que entram iguanas e araras, contamos 36 patas e 15 cabe\u00e7as. Quantas iguanas e quantas araras est\u00e3o no espet\u00e1culo? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":26055,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,714],"tags":[424,345,239],"series":[],"class_list":["post-26049","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-equacoes-literais-e-sistemas","tag-8-o-ano","tag-funcao-afim","tag-sistema-de-equacoes"],"views":61,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-14_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26049","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=26049"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26049\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/26055"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=26049"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=26049"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=26049"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=26049"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}