{"id":14807,"date":"2018-04-22T23:11:16","date_gmt":"2018-04-22T22:11:16","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14807"},"modified":"2022-01-10T00:09:50","modified_gmt":"2022-01-10T00:09:50","slug":"a-susana-comprou-lembrancas-para-os-amigos","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14807","title":{"rendered":"A Susana comprou lembran\u00e7as para os amigos"},"content":{"rendered":"<p><ul id='GTTabs_ul_14807' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14807' class='GTTabs_curr'><a  id=\"14807_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14807' ><a  id=\"14807_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_14807'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14808\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14808\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6.png\" data-orig-size=\"782,565\" 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=\"Lembran\u00e7as\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6.png\" class=\"alignright size-medium wp-image-14808\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6-300x217.png\" alt=\"\" width=\"300\" height=\"217\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6-300x217.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6-768x555.png 768w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6.png 782w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Em Moscovo, a Susana guardou alguns rublos, moeda russa, para comprar lembran\u00e7as para os amigos. Decidiu que as lembran\u00e7as teriam todas o mesmo pre\u00e7o. Verificou que o dinheiro que guardou chegava exatamente para comprar uma lembran\u00e7a de 35 rublos para cada um de 18 amigos, mas ela queria comprar lembran\u00e7as para 21 amigos.<\/p>\n<p>Qual \u00e9 o valor m\u00e1ximo que poderia pagar por cada lembran\u00e7a, com o dinheiro que tinha?<br \/>\nMostra como chegaste \u00e0 tua resposta.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14807' onClick='GTTabs_show(1,14807)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14807'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Comecemos tabelar a informa\u00e7\u00e3o fornecida.<\/p>\n<table class=\" aligncenter\" style=\"width: 60%;\">\n<tfoot>\n<tr>\n<td><strong>Quantia guardada<\/strong> (em rublos)<\/td>\n<td>630<\/td>\n<td>630<\/td>\n<\/tr>\n<\/tfoot>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">N\u00famero de lembran\u00e7as &#8211;\u00a0\\(n\\)<\/td>\n<td>18<\/td>\n<td>21<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\">Pre\u00e7o de cada lembran\u00e7a (em rublos) &#8211;\u00a0\\(p\\)<\/td>\n<td>35<\/td>\n<td>x<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14808\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14808\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6.png\" data-orig-size=\"782,565\" 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=\"Lembran\u00e7as\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6.png\" class=\"alignright size-medium wp-image-14808\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6-300x217.png\" alt=\"\" width=\"300\" height=\"217\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6-300x217.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6-768x555.png 768w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6.png 782w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Tendo em considera\u00e7\u00e3o que as grandezas <em>n<\/em> e <em>p<\/em> s\u00e3o inversamente proporcionais, vem:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{18 \\times 35 = 21 \\times x}&amp; \\Leftrightarrow &amp;{x = \\frac{{18 \\times 35}}{{21}}}\\\\{}&amp; \\Leftrightarrow &amp;{x = 30}\\end{array}\\]<\/p>\n<p>Para comprar lembran\u00e7as para 21 amigos, a Susana podia pagar, no m\u00e1ximo, 30 rublos por cada lembran\u00e7a.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14807' onClick='GTTabs_show(0,14807)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Em Moscovo, a Susana guardou alguns rublos, moeda russa, para comprar lembran\u00e7as para os amigos. Decidiu que as lembran\u00e7as teriam todas o mesmo pre\u00e7o. Verificou que o dinheiro que guardou chegava&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14809,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,249],"tags":[426,250],"series":[],"class_list":["post-14807","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-proporcionalidade-inversa-e-funcoes-algebricas","tag-9-o-ano","tag-proporcionalidade-inversa-2"],"views":2059,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag122-6a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14807","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=14807"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14807\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14809"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14807"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14807"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14807"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14807"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}