{"id":6282,"date":"2024-05-26T11:37:35","date_gmt":"2024-05-26T14:37:35","guid":{"rendered":"https:\/\/xequematenem.com.br\/blog\/?p=6282"},"modified":"2025-06-10T17:38:59","modified_gmt":"2025-06-10T20:38:59","slug":"questao-165-enem-ppl-2020","status":"publish","type":"post","link":"https:\/\/xequematenem.com.br\/blog\/questao-165-enem-ppl-2020\/","title":{"rendered":"Quest\u00e3o 165 &#8211; Enem PPL 2020"},"content":{"rendered":"\n<p class=\"has-text-align-center wp-block-paragraph\">Quest\u00e3o 165 &#8211; Raz\u00e3o e Propor\u00e7\u00e3o<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Foi feita uma pesquisa sobre a escolaridade dos funcion\u00e1rios de uma empresa. Verificou-se que 1\/4 dos homens que ali trabalham t\u00eam o ensino m\u00e9dio completo, enquanto 2\/3 das mulheres que trabalham na empresa t\u00eam o ensino m\u00e9dio completo. Constatou-se, tamb\u00e9m, que entre todos os que t\u00eam o ensino m\u00e9dio completo, metade s\u00e3o homens.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A fra\u00e7\u00e3o que representa o n\u00famero de funcion\u00e1rios homens em rela\u00e7\u00e3o ao total de funcion\u00e1rios dessa empresa \u00e9<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"64\" height=\"291\" data-src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/05\/image-61.png\" alt=\"\" class=\"wp-image-6283 lazyload\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 64px; --smush-placeholder-aspect-ratio: 64\/291;\"><\/figure>\n\n\n\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sendo o n\u00famero de homens y e o de mulheres x, temos que o total T de funcion\u00e1rios \u00e9<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x + y = T<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x = T &#8211; y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sendo y\/4 o total de homens que tem ensino m\u00e9dio, e 2x\/3 o total de mulheres que tem ensino m\u00e9dio, podemos afirmar que se a metade desses s\u00e3o homens:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(2x\/3 + y\/4)\/2 = y\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2x\/6 + y\/8 = y\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2x\/6 = y\/4 -y\/8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2x\/6 = y\/8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x = 6y\/16<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y = 16x\/6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y = 8x\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Se x = T &#8211; y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Substituindo em y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y = 8(T-y)\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y = 8T\/3 &#8211; 8y\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y + 8y\/3 = 8T\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">11y\/3 = 8T\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">11y = 8T<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y = 8T\/11<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Alternativa E<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Assista a resolu\u00e7\u00e3o com mais detalhes no v\u00eddeo abaixo!<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Quest\u00e3o 165 - Caderno Azul | Raz\u00e3o e Propor\u00e7\u00e3o | MATEM\u00c1TICA ENEM PPL 2020\" width=\"800\" height=\"450\" data-src=\"https:\/\/www.youtube.com\/embed\/rBl5TFf6Ukc?list=PLrzB-zHlu3aDeOIMvU2HONxnR9gk0LfbA\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" data-load-mode=\"1\"><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Quest\u00e3o 165 &#8211; Raz\u00e3o e Propor\u00e7\u00e3o Foi feita uma pesquisa sobre a escolaridade dos funcion\u00e1rios de uma empresa. Verificou-se que 1\/4 dos homens que ali trabalham t\u00eam o ensino m\u00e9dio completo, enquanto 2\/3 das mulheres que trabalham na empresa t\u00eam o ensino m\u00e9dio completo. Constatou-se, tamb\u00e9m, que entre todos os que t\u00eam o ensino m\u00e9dio [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":6283,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[87,99],"tags":[],"area-do-conhecimento":[132,118],"assunto":[35],"class_list":["post-6282","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-questoes-ppl","category-2020-questoes-ppl","area-do-conhecimento-matematica","area-do-conhecimento-matematica-e-suas-tecnologias","assunto-razao-e-proporcao"],"_links":{"self":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6282","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/comments?post=6282"}],"version-history":[{"count":3,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6282\/revisions"}],"predecessor-version":[{"id":11704,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6282\/revisions\/11704"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media\/6283"}],"wp:attachment":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media?parent=6282"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/categories?post=6282"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/tags?post=6282"},{"taxonomy":"area-do-conhecimento","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/area-do-conhecimento?post=6282"},{"taxonomy":"assunto","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/assunto?post=6282"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}