{"id":6784,"date":"2011-04-14T16:19:27","date_gmt":"2011-04-14T15:19:27","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6784"},"modified":"2022-01-18T02:35:48","modified_gmt":"2022-01-18T02:35:48","slug":"a-idade-da-rita","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6784","title":{"rendered":"A idade da Rita"},"content":{"rendered":"<p><ul id='GTTabs_ul_6784' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6784' class='GTTabs_curr'><a  id=\"6784_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6784' ><a  id=\"6784_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_6784'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6785\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6785\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face.jpg\" data-orig-size=\"380,400\" 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;}\" data-image-title=\"Rita\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face.jpg\" class=\"alignright size-medium wp-image-6785\" title=\"Rita\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face-285x300.jpg\" alt=\"\" width=\"171\" height=\"180\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face-285x300.jpg 285w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face-142x150.jpg 142w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face.jpg 380w\" sizes=\"auto, (max-width: 171px) 100vw, 171px\" \/><\/a>A Rita diz que daqui a 18 anos, a ter\u00e7a parte da sua idade ser\u00e1 metade da sua idade atual.<\/p>\n<p>Qual \u00e9 a idade da Rita?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6784' onClick='GTTabs_show(1,6784)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6784'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6785\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6785\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face.jpg\" data-orig-size=\"380,400\" 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;}\" data-image-title=\"Rita\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face.jpg\" class=\"alignright size-medium wp-image-6785\" title=\"Rita\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face-285x300.jpg\" alt=\"\" width=\"171\" height=\"180\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face-285x300.jpg 285w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face-142x150.jpg 142w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/girl-face.jpg 380w\" sizes=\"auto, (max-width: 171px) 100vw, 171px\" \/><\/a>Seja $x$ a idade (em anos) atual da Rita.<\/p>\n<p>Assim, temos:<\/p>\n<ul>\n<li>A idade da Rita daqui a 18 anos: $x+18$<\/li>\n<li>A ter\u00e7a parte da idade da Rita daqui a 18 anos: $\\frac{x+18}{3}$<\/li>\n<li>Metade da idade atual da Rita: $\\frac{x}{2}$<\/li>\n<\/ul>\n<p>Logo, \\[\\begin{array}{*{35}{l}}<br \/>\n\\frac{x+18}{\\underset{(2)}{\\mathop{3}}\\,}=\\frac{x}{\\underset{(3)}{\\mathop{2}}\\,} &amp; \\Leftrightarrow\u00a0 &amp; 2x+36=3x\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; x=36\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>A Rita tem 36 anos.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6784' onClick='GTTabs_show(0,6784)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A Rita diz que daqui a 18 anos, a ter\u00e7a parte da sua idade ser\u00e1 metade da sua idade atual. Qual \u00e9 a idade da Rita? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20590,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,159],"tags":[160],"series":[],"class_list":["post-6784","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-equacoes-do-1--grau","tag-equacao"],"views":2188,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/8V2Pag061-3_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6784","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=6784"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6784\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20590"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6784"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}