{"id":26043,"date":"2023-05-24T23:15:54","date_gmt":"2023-05-24T22:15:54","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=26043"},"modified":"2023-05-25T13:02:19","modified_gmt":"2023-05-25T12:02:19","slug":"uma-fabrica-produz-triciclos-e-bicicletas","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=26043","title":{"rendered":"Uma f\u00e1brica produz triciclos e bicicletas"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_26043' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_26043' class='GTTabs_curr'><a  id=\"26043_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_26043' ><a  id=\"26043_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_26043'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Uma f\u00e1brica produz triciclos e bicicletas para crian\u00e7as, como os da figura abaixo.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"26044\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=26044\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13.png\" data-orig-size=\"382,182\" 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_Pag204-13\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13.png\" class=\"wp-image-26044 aligncenter\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13-300x143.png\" alt=\"\" width=\"320\" height=\"152\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13-300x143.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13.png 382w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<p>Ontem produziram-se 11 unidades e, para mont\u00e1-las, foram usadas 40 rodas.<\/p>\n<p>Quantos triciclos e quantas bicicletas foram ontem produzidos na f\u00e1brica? Explica a tua resposta.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_26043' onClick='GTTabs_show(1,26043)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_26043'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Uma f\u00e1brica produz triciclos e bicicletas para crian\u00e7as, como os da figura abaixo.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"26044\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=26044\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13.png\" data-orig-size=\"382,182\" 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_Pag204-13\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13.png\" class=\"wp-image-26044 aligncenter\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13-300x143.png\" alt=\"\" width=\"320\" height=\"152\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13-300x143.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13.png 382w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<blockquote>\n<p>Ontem produziram-se 11 unidades e, para mont\u00e1-las, foram usadas 40 rodas.<\/p>\n<p>Quantos triciclos e quantas bicicletas foram ontem produzidos na f\u00e1brica? Explica a tua resposta.<\/p>\n<\/blockquote>\n<p>\u00a0<\/p>\n<p>Seja <em>t<\/em> o n\u00famero de triciclos e <em>b<\/em> o n\u00famero de bicicletas que foram ontem produzidos na f\u00e1brica.<\/p>\n<p>Como cada triciclo tem 3 rodas e cada bicicleta tem 4 rodas, podemos equacionar e resolver o problema conforme segue: \\[\\begin{array}{*{20}{l}}{\\left\\{ {\\begin{array}{*{20}{l}}{b + t = 11}\\\\{4b + 3t = 40}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{b = 11 &#8211; t}\\\\{4\\left( {11 &#8211; t} \\right) + 3t = 40}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{b = 11 &#8211; t}\\\\{44 &#8211; 4t + 3t = 40}\\end{array}} \\right.}&amp; \\Leftrightarrow \\\\{}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{ &#8211; t = &#8211; 4}\\\\{b = 11 &#8211; t}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{t = 4}\\\\{b = 7}\\end{array}} \\right.}&amp;{}\\end{array}\\]<\/p>\n<p>Portanto, foram produzidos 4 triciclos e 7 bicicletas.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_26043' onClick='GTTabs_show(0,26043)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Uma f\u00e1brica produz triciclos e bicicletas para crian\u00e7as, como os da figura abaixo. Ontem produziram-se 11 unidades e, para mont\u00e1-las, foram usadas 40 rodas. Quantos triciclos e quantas bicicletas foram ontem&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":26045,"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-26043","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":67,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag204-13_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26043","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=26043"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26043\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/26045"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=26043"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=26043"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=26043"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=26043"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}