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{"id":24416,"date":"2023-02-07T16:28:21","date_gmt":"2023-02-07T16:28:21","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24416"},"modified":"2023-06-12T00:11:46","modified_gmt":"2023-06-11T23:11:46","slug":"numa-caravana-no-deserto-iam-camelos-e-dromedarios","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24416","title":{"rendered":"Numa caravana no deserto iam camelos e dromed\u00e1rios"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24416' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24416' class='GTTabs_curr'><a  id=\"24416_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24416' ><a  id=\"24416_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_24416'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/images.fineartamerica.com\/images\/artworkimages\/mediumlarge\/3\/bactrian-camel-arabian-camel-or-dromedary-dromedaries-caparisoned-and-post-camel-of-india-oliver-goldsmith.jpg\" alt=\"\" width=\"900\" height=\"596\" \/>Numa caravana no deserto iam camelos e dromed\u00e1rios.<\/p>\n<ol>\n<li>Contaram-se mais 6 camelos do que dromed\u00e1rios e 304 bossas.<br \/>Sabendo que um dromed\u00e1rio possui uma bossa e um camelo duas, quantos animais de cada esp\u00e9cie iam na caravana?<\/li>\n<li>Ap\u00f3s nova contagem, descobriu-se que, afinal, havia s\u00f3 mais 5 camelos do que dromed\u00e1rios.<br \/>Quantos animais de cada esp\u00e9cie iam ent\u00e3o na caravana?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24416' onClick='GTTabs_show(1,24416)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24416'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>\n<blockquote>Contaram-se mais 6 camelos do que dromed\u00e1rios e 304 bossas.<br \/>Sabendo que um dromed\u00e1rio possui uma bossa e um camelo duas, quantos animais de cada esp\u00e9cie iam na caravana?<\/blockquote>\n<\/li>\n<li>\n<blockquote>Ap\u00f3s nova contagem, descobriu-se que, afinal, havia s\u00f3 mais 5 camelos do que dromed\u00e1rios.<br \/>Quantos animais de cada esp\u00e9cie iam ent\u00e3o na caravana?<\/blockquote>\n<\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<ol>\n<li>Designado por \\(x\\) o n\u00famero de dromed\u00e1rios, ent\u00e3o o n\u00famero de camelos \u00e9 dado por \\(x + 6\\).<br \/>Equacionando o problema e resolvendo a equa\u00e7\u00e3o, temos:<br \/>\\[\\begin{array}{*{20}{l}}{1 \\times x + 2 \\times \\left( {x + 6} \\right) = 304}&amp; \\Leftrightarrow &amp;{x + 2x + 12 = 304}\\\\{}&amp; \\Leftrightarrow &amp;{3x = 304 &#8211; 12}\\\\{}&amp; \\Leftrightarrow &amp;{x = \\frac{{292}}{3}}\\\\{}&amp; \\Leftrightarrow &amp;{x = 97 + \\frac{1}{3}}\\end{array}\\]<br \/>O problema \u00e9 imposs\u00edvel, pois o n\u00famero de dromed\u00e1rios tem de ser um n\u00famero natural.<br \/><br \/><\/li>\n<li>Designado por \\(x\\) o n\u00famero de dromed\u00e1rios, ent\u00e3o o n\u00famero de camelos \u00e9 dado por \\(x + 5\\).<br \/>Equacionando o problema e resolvendo a equa\u00e7\u00e3o, temos:<br \/>\\[\\begin{array}{*{20}{l}}{1 \\times x + 2 \\times \\left( {x + 5} \\right) = 304}&amp; \\Leftrightarrow &amp;{x + 2x + 10 = 304}\\\\{}&amp; \\Leftrightarrow &amp;{3x = 304 &#8211; 10}\\\\{}&amp; \\Leftrightarrow &amp;{x = \\frac{{294}}{3}}\\\\{}&amp; \\Leftrightarrow &amp;{x = 98}\\end{array}\\]<br \/>Portanto, na caravana iam 103 camelos e 98 dromed\u00e1rios.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24416' onClick='GTTabs_show(0,24416)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Numa caravana no deserto iam camelos e dromed\u00e1rios. Contaram-se mais 6 camelos do que dromed\u00e1rios e 304 bossas.Sabendo que um dromed\u00e1rio possui uma bossa e um camelo duas, quantos animais de&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":24418,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,701],"series":[],"class_list":["post-24416","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-monomios-e-polinomios","tag-8-o-ano","tag-equacao-do-1-o-grau"],"views":209,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag121-T3_520x245_a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24416","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=24416"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24416\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/24418"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24416"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24416"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24416"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}