{"id":1780993,"date":"2026-08-16T08:18:00","date_gmt":"2026-08-16T11:18:00","guid":{"rendered":"https:\/\/www.estrategiaconcursos.com.br\/blog\/?p=1780993"},"modified":"2026-08-11T13:50:39","modified_gmt":"2026-08-11T16:50:39","slug":"problemas-misturas","status":"publish","type":"post","link":"https:\/\/www.estrategiaconcursos.com.br\/blog\/problemas-misturas\/","title":{"rendered":"Problemas de Misturas"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Aprenda os conceitos essenciais sobre problemas de misturas com um resumo para as principais provas de concursos.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/07\/14110210\/front-view-young-female-white-special-suit-yellow-helmet-working-with-solutions-green-space-job-1024x683.jpg\" alt=\"Cientista misturando l\u00edquidos diferentes - problemas de misturas\" class=\"wp-image-1781003\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/07\/14110210\/front-view-young-female-white-special-suit-yellow-helmet-working-with-solutions-green-space-job-1024x683.jpg 1024w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/07\/14110210\/front-view-young-female-white-special-suit-yellow-helmet-working-with-solutions-green-space-job-300x200.jpg 300w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/07\/14110210\/front-view-young-female-white-special-suit-yellow-helmet-working-with-solutions-green-space-job-768x512.jpg 768w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/07\/14110210\/front-view-young-female-white-special-suit-yellow-helmet-working-with-solutions-green-space-job-1536x1024.jpg 1536w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/07\/14110210\/front-view-young-female-white-special-suit-yellow-helmet-working-with-solutions-green-space-job-2048x1365.jpg 2048w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/07\/14110210\/front-view-young-female-white-special-suit-yellow-helmet-working-with-solutions-green-space-job-150x100.jpg 150w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Ol\u00e1, pessoal! Tudo bem com voc\u00eas?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Apesar de parecerem estar inseridos unicamente na qu\u00edmica, os <strong>problemas de misturas<\/strong> s\u00e3o um tema bastante recorrente em <strong>Matem\u00e1tica<\/strong> para concursos p\u00fablicos, especialmente em quest\u00f5es que envolvem porcentagens, propor\u00e7\u00f5es e m\u00e9dias ponderadas. Apesar de, \u00e0 primeira vista, parecerem complexos, esses problemas seguem uma l\u00f3gica simples: determinar a composi\u00e7\u00e3o final de uma mistura a partir da combina\u00e7\u00e3o de duas ou mais subst\u00e2ncias com concentra\u00e7\u00f5es conhecidas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Em provas de bancas como <strong><\/strong><strong><a href=\"https:\/\/conhecimento.fgv.br\/concursos\" target=\"_blank\" rel=\"noreferrer noopener\">FGV<\/a>, <a href=\"https:\/\/www.concursosfcc.com.br\/\" target=\"_blank\" rel=\"noreferrer noopener\">FCC<\/a><\/strong> <strong>e<\/strong> <a href=\"https:\/\/www.cebraspe.org.br\/concursos\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Cebraspe<\/strong><\/a>, \u00e9 comum encontrar quest\u00f5es envolvendo misturas de solu\u00e7\u00f5es, ligas met\u00e1licas, combust\u00edveis, alimentos ou produtos qu\u00edmicos. O diferencial est\u00e1 na interpreta\u00e7\u00e3o correta do enunciado e na escolha da estrat\u00e9gia de resolu\u00e7\u00e3o mais adequada.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Neste artigo, voc\u00ea aprender\u00e1 como identificar problemas de misturas, conhecer\u00e1 os principais m\u00e9todos de resolu\u00e7\u00e3o e ver\u00e1 exemplos comentados semelhantes aos cobrados nas provas de concursos.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Confira os t\u00f3picos que ser\u00e3o abordados:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>O que s\u00e3o problemas de misturas;<\/li>\n\n\n\n<li>Como resolver;<\/li>\n\n\n\n<li>Principais estrat\u00e9gias;<\/li>\n\n\n\n<li>Exemplos resolvidos.<\/li>\n<\/ul>\n\n\n\n<h2 id=\"h-o-que-sao-problemas-de-misturas\" class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\">O Que S\u00e3o Problemas de Misturas<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Problemas de misturas envolvem a combina\u00e7\u00e3o de duas ou mais subst\u00e2ncias que possuem determinada concentra\u00e7\u00e3o de um componente, com o objetivo de encontrar a concentra\u00e7\u00e3o final ou determinar uma quantidade desconhecida.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Na maioria das quest\u00f5es, trabalha-se com uma subst\u00e2ncia principal, denominada <strong>soluto<\/strong>, e outra que a dilui, denominada <strong>solvente<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Por exemplo:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Misturam-se:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 litros de uma solu\u00e7\u00e3o com 30% de \u00e1lcool;<\/li>\n\n\n\n<li>3 litros de uma solu\u00e7\u00e3o com 50% de \u00e1lcool.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Qual ser\u00e1 a concentra\u00e7\u00e3o final?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Observe que a quantidade de \u00e1lcool existente em cada solu\u00e7\u00e3o permanece a mesma; apenas o volume total da mistura \u00e9 alterado.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Essa \u00e9 a ideia central de praticamente todos os problemas de misturas.<\/p>\n\n\n\n<h2 id=\"h-como-resolver-problemas-de-misturas\" class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\">Como Resolver Problemas de Misturas<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Embora existam diferentes formas de resolu\u00e7\u00e3o dos problemas de misturas, a maioria das quest\u00f5es pode ser resolvida utilizando um mesmo procedimento.<\/p>\n\n\n\n<h3 id=\"h-1-identifique-a-substancia-cuja-quantidade-permanece-constante\" class=\"wp-block-heading\"><strong>1) Identifique a subst\u00e2ncia cuja quantidade permanece constante<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Em geral, o que permanece constante \u00e9 a quantidade do componente principal.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Exemplos:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>quantidade de \u00e1lcool;<\/li>\n\n\n\n<li>quantidade de sal;<\/li>\n\n\n\n<li>quantidade de ouro;<\/li>\n\n\n\n<li>quantidade de a\u00e7\u00facar.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">O volume ou a massa da mistura pode variar, mas a quantidade desse componente \u00e9 conservada.<\/p>\n\n\n\n<h3 id=\"h-2-calcule-a-quantidade-presente-em-cada-mistura\" class=\"wp-block-heading\"><strong>2) Calcule a quantidade presente em cada mistura<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Transforme cada porcentagem em quantidade efetiva.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Por exemplo: <\/strong>4 litros de solu\u00e7\u00e3o a 20%.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quantidade de soluto:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">20% de 4<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 0,20 \u00d7 4<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 0,8 litro<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Repita esse procedimento para todas as misturas.<\/p>\n\n\n\n<h3 id=\"h-3-some-as-quantidades\" class=\"wp-block-heading\"><strong>3) Some as quantidades<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Depois de encontrar a quantidade do componente em cada recipiente, some os valores. Al\u00e9m disso, some tamb\u00e9m os volumes (ou massas) totais.<\/p>\n\n\n\n<h3 id=\"h-4-calcule-a-concentracao-final\" class=\"wp-block-heading\"><strong>4) Calcule a concentra\u00e7\u00e3o final<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Utilize a f\u00f3rmula:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Concentra\u00e7\u00e3o = quantidade do componente \u00f7 quantidade total<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Se necess\u00e1rio, multiplique o resultado por 100 para obter a porcentagem.<\/p>\n\n\n\n<h2 id=\"h-estrategias-mais-utilizadas-na-resolucao-de-problemas-de-misturas\" class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\">Estrat\u00e9gias Mais Utilizadas na Resolu\u00e7\u00e3o de Problemas de Misturas<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Dependendo da quest\u00e3o, diferentes abordagens podem ser mais eficientes.<\/p>\n\n\n\n<h3 id=\"h-1-conservacao-da-quantidade\" class=\"wp-block-heading\"><strong>1) Conserva\u00e7\u00e3o da quantidade<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u00c9 a t\u00e9cnica mais utilizada.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A quantidade do componente principal permanece constante antes e depois da mistura.<\/p>\n\n\n\n<h3 id=\"h-2-media-ponderada\" class=\"wp-block-heading\"><strong>2) M\u00e9dia ponderada<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Quando apenas duas misturas s\u00e3o combinadas, muitas quest\u00f5es podem ser resolvidas utilizando m\u00e9dia ponderada.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Por exemplo:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 litros a 30%<\/li>\n\n\n\n<li>3 litros a 50%<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Concentra\u00e7\u00e3o final:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">(2 \u00d7 30 + 3 \u00d7 50) \u00f7 (2 + 3)<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= (60 + 150) \u00f7 5<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 42%<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Essa estrat\u00e9gia \u00e9 bastante r\u00e1pida quando as <strong>quantidades s\u00e3o conhecidas<\/strong>.<\/p>\n\n\n\n<h3 id=\"h-3-equacao-do-1\u00ba-grau\" class=\"wp-block-heading\"><strong>3) Equa\u00e7\u00e3o do 1\u00ba grau<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Quando a quest\u00e3o pede uma quantidade desconhecida, normalmente \u00e9 necess\u00e1rio montar uma equa\u00e7\u00e3o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Esse modelo aparece com frequ\u00eancia nas provas da FGV.<\/p>\n\n\n\n<h2 id=\"h-exemplos-resolvidos-problemas-de-misturas\" class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\">Exemplos Resolvidos \u2013 Problemas de Misturas<\/h2>\n\n\n\n<h3 id=\"h-exemplo-1-problemas-de-misturas\" class=\"wp-block-heading\"><strong>Exemplo 1 &#8211; Problemas de Misturas<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Misturam-se 4 litros de uma solu\u00e7\u00e3o com 20% de sal e 6 litros de uma solu\u00e7\u00e3o com 40% de sal. Qual \u00e9 a concentra\u00e7\u00e3o final?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Utilizamos o princ\u00edpio da conserva\u00e7\u00e3o da quantidade de sal, somando primeiro as quantidades do componente e apenas depois calculando a concentra\u00e7\u00e3o da mistura.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quantidade de sal na primeira solu\u00e7\u00e3o:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">20% de 4<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 0,8 litro<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quantidade de sal na segunda solu\u00e7\u00e3o:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">40% de 6<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 2,4 litros<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quantidade total de sal:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">0,8 + 2,4 = 3,2 litros<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Volume total:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">4 + 6 = 10 litros<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Concentra\u00e7\u00e3o final:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">3,2 \u00f7 10 = 0,32<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">32%<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Portanto, a concentra\u00e7\u00e3o final ser\u00e1 de <strong>32%<\/strong>.<\/p>\n\n\n\n<h3 id=\"h-exemplo-2\" class=\"wp-block-heading\"><strong>Exemplo 2<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Um tanque cont\u00e9m 20 litros de uma solu\u00e7\u00e3o com 30% de \u00e1lcool. Quantos litros de \u00e1lcool puro devem ser adicionados para que a concentra\u00e7\u00e3o passe para 40%?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Como a quantidade adicionada \u00e9 desconhecida, teremos que montar uma equa\u00e7\u00e3o do 1\u00ba grau.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quantidade inicial de \u00e1lcool:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">30% de 20<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 6 litros<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Adicionando x litros de \u00e1lcool puro:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Quantidade de \u00e1lcool: 6 + x<\/li>\n\n\n\n<li>Volume total: 20 + x<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Montando a equa\u00e7\u00e3o:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">(6 + x)\/(20 + x) = 40%<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">(6 + x)\/(20 + x) = 0,40<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">6 + x = 8 + 0,4x<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">0,6x = 2<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">x = 3,33 litros<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Portanto, devemos adicionar aproximadamente <strong>3,33 litros de \u00e1lcool<\/strong>.<\/p>\n\n\n\n<h3 id=\"h-exemplo-3\" class=\"wp-block-heading\"><strong>Exemplo 3<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Uma cooperativa mistura dois tipos de caf\u00e9.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>O primeiro custa R$ 24,00 por quilograma.<\/li>\n\n\n\n<li>O segundo custa R$ 36,00 por quilograma.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">S\u00e3o utilizados 5 kg do primeiro e 3 kg do segundo. Qual \u00e9 o pre\u00e7o m\u00e9dio do quilograma da mistura?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Embora o contexto seja financeiro, trata-se de um t\u00edpico problema de mistura resolvido por m\u00e9dia ponderada:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">(5 \u00d7 24 + 3 \u00d7 36) \u00f7 8<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= (120 + 108) \u00f7 8<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 28,50<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Portanto, o pre\u00e7o m\u00e9dio do quilograma ser\u00e1 <strong>R$ 28,50<\/strong>.<\/p>\n\n\n\n<h3 id=\"h-exemplo-4\" class=\"wp-block-heading\"><strong>Exemplo 4<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Uma joalheria mistura 200 g de uma liga contendo 80% de ouro com outra liga contendo 60% de ouro. Sabendo que a liga final possui 70% de ouro, quantos gramas da segunda liga foram utilizados?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Devemos identificar a inc\u00f3gnita e aplicar corretamente a conserva\u00e7\u00e3o da quantidade de ouro.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quantidade de ouro na primeira liga:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">200 \u00d7 80%<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 160 g<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sejam x gramas da segunda liga.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quantidade de ouro nessa liga: 0,60x.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Montando a equa\u00e7\u00e3o:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">(160 + 0,60x)\/(200 + x) = 0,70<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">160 + 0,60x = 140 + 0,70x<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">20 = 0,10x<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">x = 200 g<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Portanto, foram utilizados <strong>200 gramas de ouro<\/strong>.<\/p>\n\n\n\n<h2 id=\"h-finalizando-problemas-de-misturas\" class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\">Finalizando &#8211; Problemas de Misturas<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Os problemas de misturas s\u00e3o aplica\u00e7\u00f5es diretas de conceitos como porcentagem, propor\u00e7\u00e3o, m\u00e9dia ponderada e equa\u00e7\u00f5es do 1\u00ba grau. Apesar de aparecerem em contextos variados, como solu\u00e7\u00f5es qu\u00edmicas, combust\u00edveis, ligas met\u00e1licas ou alimentos, todos compartilham a mesma ideia fundamental: a quantidade do componente principal permanece conservada durante a mistura.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A estrat\u00e9gia mais eficiente consiste em calcular inicialmente a quantidade efetiva do componente em cada mistura, somar essas quantidades e somente ent\u00e3o determinar a concentra\u00e7\u00e3o final. Em situa\u00e7\u00f5es envolvendo quantidades desconhecidas, basta transformar essa l\u00f3gica em uma equa\u00e7\u00e3o. A chave para o dom\u00ednio est\u00e1 na <strong>pr\u00e1tica<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00c9 importante refor\u00e7ar que este conte\u00fado <strong>deve ser utilizado como complemento ao material em PDF<\/strong>, onde a abordagem \u00e9 aprofundada e completa. Al\u00e9m disso, \u00e9 fundamental praticar com muitas quest\u00f5es, preferencialmente separadas por banca, para entender as diferentes formas de cobran\u00e7a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quer se aprofundar no tema? O Estrat\u00e9gia Concursos disponibiliza <strong>materiais em PDF completos e atualizados<\/strong>, com teoria detalhada, quest\u00f5es comentadas e videoaulas direcionadas para cada concurso. Com pr\u00e1tica e um bom material, voc\u00ea estar\u00e1 preparado para resolver qualquer quest\u00e3o sobre problemas de misturas que aparecer na sua prova.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Acesse <a href=\"https:\/\/www.estrategiaconcursos.com.br\/\" target=\"_blank\" rel=\"noreferrer noopener\">os cursos do Estrat\u00e9gia Concursos<\/a> e fortale\u00e7a sua prepara\u00e7\u00e3o com um conte\u00fado de alto n\u00edvel.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bons estudos e at\u00e9 a pr\u00f3xima!<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\" id=\"cursos-assinatura\">Cursos e Assinaturas<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Prepare-se com o melhor material e com quem mais aprova em Concursos P\u00fablicos em todo o pa\u00eds!<\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-cyan-blue-color has-text-color has-background wp-block-paragraph\" style=\"background-color:#0078bd\"><a href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/concursos-abertos\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-white-color\">Concursos Abertos<\/mark><\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-cyan-blue-color has-text-color has-background wp-block-paragraph\" style=\"background-color:#0078bd\"><a href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/concursos-2026\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-white-color\">Concursos 2026<\/mark><\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aprenda os conceitos essenciais sobre problemas de misturas com um resumo para as principais provas de concursos. Ol\u00e1, pessoal! Tudo bem com voc\u00eas? Apesar de parecerem estar inseridos unicamente na qu\u00edmica, os problemas de misturas s\u00e3o um tema bastante recorrente em Matem\u00e1tica para concursos p\u00fablicos, especialmente em quest\u00f5es que envolvem porcentagens, propor\u00e7\u00f5es e m\u00e9dias ponderadas. [&hellip;]<\/p>\n","protected":false},"author":3098,"featured_media":1781003,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"post_tipo":"article","footnotes":""},"categories":[2313,1,220180,3766,220184,220242,214992,220181,1983,220182,220183,222427,1988,222278,220191,222408,220737,1984,214710,222239,222235,222236,222237],"tags":[],"tax_estado":[219964,219965,219966,219967,219968,219969,219963,219970,219971,219972,219973,219974,219975,219976,219977,219978,219979,219980,219981,219982,219983,219984,219985,219986,219987,219988,219989,219990],"class_list":["post-1780993","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-carreiras-bancarias","category-cursos-e-concursos","category-controle-gestao","category-educacional","category-engenharias-e-ti","category-estrategia-militares","category-concursos-administrativos","category-area-financeira","category-fiscal-estadual","category-fiscal-federal","category-fiscal-municipal","category-petrobras","category-policia","category-prefeituras","category-previdenciaria","category-tecnologia-da-informacao","category-tribunais-tribunais","category-tribunais","category-tribunais-de-contas","category-tribunais-regionais-federais","category-tribunal-de-justica","category-tribunal-regional-do-trabalho","category-tribunal-regional-eleitoral","tax_estado-ac","tax_estado-al","tax_estado-am","tax_estado-ap","tax_estado-ba","tax_estado-ce","tax_estado-concursos-federais","tax_estado-df","tax_estado-es","tax_estado-go","tax_estado-ma","tax_estado-mg","tax_estado-ms","tax_estado-mt","tax_estado-pa","tax_estado-pb","tax_estado-pe","tax_estado-pi","tax_estado-pr","tax_estado-rj","tax_estado-rn","tax_estado-ro","tax_estado-rr","tax_estado-rs","tax_estado-sc","tax_estado-se","tax_estado-sp","tax_estado-to"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.1 (Yoast SEO v28.1) - 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