{"id":153,"date":"2019-04-23T14:14:13","date_gmt":"2019-04-23T14:14:13","guid":{"rendered":"https:\/\/acertijosparati.com\/acertijos\/?p=153"},"modified":"2021-03-29T23:34:02","modified_gmt":"2021-03-29T21:34:02","slug":"acertijo-7-sandwiches-y-medialunas","status":"publish","type":"post","link":"https:\/\/erickjrp.com\/acertijos\/acertijo-7-sandwiches-y-medialunas\/","title":{"rendered":"Acertijo #7: S\u00e1ndwiches y medialunas"},"content":{"rendered":"\n<p style=\"font-size:18px\">Luego de varias semanas de arduo trabajo, decidiste ir de vacaciones a la playa.<\/p>\n\n\n\n<p style=\"font-size:18px\">Te hospedaste en un hotel por dos d\u00edas, los cuales disfrutaste al m\u00e1ximo. Entre las cosas que m\u00e1s te gustaron, estuvo el desayuno que consumiste en el restaurante del hotel los dos d\u00edas que all\u00ed estuviste.<\/p>\n\n\n\n<p style=\"font-size:18px\">Al contarle a tus amigos la experiencia de las vacaciones, no olvidas mencionar los excelentes desayunos que tuviste. Sin embargo, al comentar acerca de las medialunas (croissants) y los s\u00e1ndwiches, no logras recordar el precio que pagaste por cada uno.<\/p>\n\n\n\n<p style=\"font-size:18px\">Recuerdas muy bien que el primer d\u00eda pediste dos medialunas y un s\u00e1ndwich, por los cuales pagaste 4 euros. <\/p>\n\n\n\n<p style=\"font-size:18px\">El segundo d\u00eda, pediste tres medialunas y dos s\u00e1ndwiches (iguales a los del primer d\u00eda), por los cuales pagaste 7 euros.<\/p>\n\n\n\n<p class=\"margin-bottom-10\" style=\"font-size:18px\">\u00bfCu\u00e1nto costaba cada medialuna y cada s\u00e1ndwich en ese hotel?<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Matem\u00e1ticas&#8230; \u00bfotra vez?<\/strong><\/h2>\n\n\n\n<p style=\"font-size:18px\">As\u00ed es. Pero como es costumbre en Acertijos Para Ti, siempre hay varias maneras de resolver nuestros acertijos.<\/p>\n\n\n\n<p style=\"font-size:18px\">Este acertijo no es la excepci\u00f3n. Si no deseas utilizar algo como ecuaciones (que es lo que explicaremos en breve), no te preocupes, siempre puedes usar el m\u00e9todo de <a rel=\"noreferrer noopener\" href=\"https:\/\/erickjrp.com\/acertijos\/acertijo-4-extrano-acuerdo\/\" target=\"_blank\">ensayo y error, explicado y usado en el Acertijo #4: Extra\u00f1o acuerdo.<\/a><\/p>\n\n\n\n<p class=\"margin-bottom-0\" style=\"font-size:18px\">Si tu intenci\u00f3n es resolver este acertijo de una manera r\u00e1pida y precisa, contin\u00faa leyendo, no te arrepentir\u00e1s.<\/p>\n\n\n\n<script async=\"\" src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js\"><\/script>\n<!-- Inner content 1 -->\n<ins class=\"adsbygoogle mb-4\" style=\"display:block\" data-ad-client=\"ca-pub-6237324477943455\" data-ad-slot=\"2342947293\" data-ad-format=\"auto\" data-full-width-responsive=\"true\"><\/ins>\n<script>\n     jQuery(document).ready(function(){\n      (adsbygoogle = window.adsbygoogle || []).push({});\n     })\n<\/script>\n\n\n\n<h3 class=\"color-gray wp-block-heading\"><strong>Ecuaciones<\/strong><\/h3>\n\n\n\n<p style=\"font-size:18px\">Una ecuaci\u00f3n en matem\u00e1tica se define como una igualdad establecida entre dos expresiones, en la cual puede haber una o m\u00e1s inc\u00f3gnitas que deben ser resueltas.<\/p>\n\n\n\n<p class=\"margin-bottom-0\" style=\"font-size:18px\">Una explicaci\u00f3n breve, sencilla y con un muy buen ejemplo para entender qu\u00e9 son y c\u00f3mo podemos resolver ecuaciones, se encuentra en el <a rel=\"noreferrer noopener\" href=\"https:\/\/erickjrp.com\/acertijos\/acertijo-6-los-dos-pastores\/\" target=\"_blank\">Acertijo #6: Los dos pastores.<\/a> Por favor, toma un minuto para leer la teor\u00eda expuesta en el Acertijo #6 y vuelve para continuar con este acertijo.<\/p>\n\n\n\n<h3 class=\"color-gray wp-block-heading\"><strong>Ejemplo<\/strong><\/h3>\n\n\n\n<p style=\"font-size:18px\">A pesar de estar seguros que chequeaste la <a rel=\"noreferrer noopener\" href=\"https:\/\/erickjrp.com\/acertijos\/acertijo-6-los-dos-pastores\/\" target=\"_blank\">teor\u00eda de ecuaciones en nuestro Acertijo #6: Los dos pastores<\/a>; vamos a resolver un peque\u00f1o ejercicio para practicar.<\/p>\n\n\n\n<p style=\"font-size:18px\">De los tres m\u00e9todos que conocemos para resolver ecuaciones de dos inc\u00f3gnitas (Igualaci\u00f3n, Sustituci\u00f3n y Reducci\u00f3n), vamos a usar el m\u00e9todo de Igualaci\u00f3n.<\/p>\n\n\n\n<figure class=\"wp-block-table font-style-italic font-size-18\"><table><tbody><tr><td>x &#8211; y = 5<\/td><td>Primera ecuaci\u00f3n (I)<\/td><\/tr><tr><td>x + 2y = -1<\/td><td>Segunda ecuaci\u00f3n (II)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p style=\"font-size:18px\">Vamos a despejar <em>x<\/em> en la primera ecuaci\u00f3n:<\/p>\n\n\n\n<p class=\"has-text-align-center\" style=\"font-size:18px\"><em><strong>x = 5 + y<\/strong><\/em><\/p>\n\n\n\n<p style=\"font-size:18px\">Lo siguiente, es despejar <em>x <\/em>en la segunda ecuaci\u00f3n:<\/p>\n\n\n\n<p class=\"has-text-align-center\" style=\"font-size:18px\"><em><strong>x = -1 &#8211; 2y<\/strong><\/em><\/p>\n\n\n\n<p style=\"font-size:18px\">Ahora, debemos igualar las dos nuevas ecuaciones obtenidas y conseguir el valor de <em>y:<\/em><\/p>\n\n\n\n<figure class=\"wp-block-table font-style-italic font-size-18\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><em>5 + y = -1 &#8211; 2y<\/em><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><em>y + 2y = -1 &#8211; 5<\/em><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><em>3y = -6<\/em><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><em>y = -6 \/ 3<\/em><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong><em>y = -2<\/em><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p style=\"font-size:18px\">Con el valor de <em>y,<\/em> podemos usar cualquiera de las ecuaciones anteriores para conseguir el valor de <em>x.<\/em> Usemos la primera ecuaci\u00f3n:<\/p>\n\n\n\n<figure class=\"wp-block-table font-style-italic font-size-18 margin-bottom-0\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><em>x &#8211; <strong>y<\/strong> = 5<\/em><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><em>x &#8211; (<strong>-2<\/strong>) = 5<\/em><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><em>x + 2 = 5<\/em><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong><em>x = 3<\/em><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Retomando el Acertijo #<\/strong>7: S\u00e1ndwiches y medialunas<\/h2>\n\n\n\n<p style=\"font-size:18px\">Con lo explicado en el Acertijo #6, m\u00e1s el ejercicio que reci\u00e9n resolvimos, adivina&#8230; \u00a1No necesitas m\u00e1s! Es momento de leer cuidadosamente el enunciado de este acertijo y ver\u00e1s lo r\u00e1pido que lo resuelves.<\/p>\n\n\n\n<p style=\"font-size:18px\">Como peque\u00f1a ayuda, digamos que:<\/p>\n\n\n\n<ul class=\"ul-normal font-size-18 padding-top-5 wp-block-list\"><li><em>M<\/em> representa una medialuna<\/li><li><em>S<\/em> representa un s\u00e1ndwich<\/li><\/ul>\n\n\n\n<p style=\"font-size:18px\">De esta manera, cuando construyas las ecuaciones, tendr\u00e1s dos inc\u00f3gnitas: <em>M<\/em> y <em>S<\/em>.<\/p>\n\n\n\n<h3 class=\"font-size-16 color-gray wp-block-heading\"><strong>Si ya has podido resolver el Acertijo #7 de Acertijos Para Ti, presiona el bot\u00f3n \u00ab\u00a1Ver respuesta!\u00bb y chequea si est\u00e1s en lo correcto:<\/strong><\/h3>\n\n\n\n<script async=\"\" src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js\"><\/script>\n<!-- Inner content 2 -->\n<ins class=\"adsbygoogle mb-4\" style=\"display:block\" data-ad-client=\"ca-pub-6237324477943455\" data-ad-slot=\"2757880260\" data-ad-format=\"auto\" data-full-width-responsive=\"true\"><\/ins>\n<script>\n     jQuery(document).ready(function(){\n      (adsbygoogle = window.adsbygoogle || []).push({});\n     })\n<\/script>\n\n\n\n<p id=\"collapse-button-own\" style=\"text-align: center;\"><input type='hidden' bg_collapse_expand='6a1bd53ee523b5041797095' value='6a1bd53ee523b5041797095'><input type='hidden' id='bg-show-more-text-6a1bd53ee523b5041797095' value='\u00a1Ver respuesta!'><input type='hidden' id='bg-show-less-text-6a1bd53ee523b5041797095' value='Esconder respuesta'><button id='bg-showmore-action-6a1bd53ee523b5041797095' class='bg-showmore-plg-button bg-blue-button  '   style=\" color:#FFFFF;\">\u00a1Ver respuesta!<\/button><div id='bg-showmore-hidden-6a1bd53ee523b5041797095' ><\/p>\n<div id=\"contenido-solucion\">\n<p>Analicemos la primera parte del enunciado: <em>\u00ab&#8230;el primer d\u00eda pediste dos medialunas y un s\u00e1ndwich, por los cuales pagaste 4 euros\u00bb<\/em>.<\/p>\n<p>Si tomamos la notaci\u00f3n ofrecida como ayuda (<em>M:<\/em> medialuna, <em>S:<\/em> s\u00e1ndwich), podr\u00edamos decir que, dos medialunas <em>(<strong>2M<\/strong>)<\/em> m\u00e1s un s\u00e1ndiwch <em>(<strong>S<\/strong>)<\/em>, equivalen a <strong>4<\/strong> euros.&nbsp;<\/p>\n\n<!-- GOOGLE AD -->\n<div id=\"ad-inner-content-3\"><\/div>\n\njQuery(\"#collapse-button-own\").on(\"click\", function(){\n  setTimeout(function() {\n    if(jQuery(\"#ad-inner-content-3\").html().trim() !== \"\") { return; }\n    \/\/ script\n    var adScript = document.createElement(\"script\");\n    adScript.type = \"text\/javascript\";\n    adScript.src = \"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js\";\n    adScript.async = \"true\";\n    jQuery(\"#ad-inner-content-3\").append(adScript);\n    \/\/ element\n    var adElement = document.createElement(\"ins\");\n    adElement.setAttribute(\"class\", \"adsbygoogle mb-4\");\n    adElement.setAttribute(\"style\", \"display:block\");\n    adElement.setAttribute(\"data-ad-client\", \"ca-pub-6237324477943455\");\n    adElement.setAttribute(\"data-ad-slot\", \"7675165028\");\n    adElement.setAttribute(\"data-ad-format\", \"auto\");\n    adElement.setAttribute(\"data-full-width-responsive\", \"true\");\n    jQuery(\"#ad-inner-content-3\").append(adElement);\n    \/\/ init\n    jQuery(document).ready(function(){\n      (adsbygoogle = window.adsbygoogle || []).push({});\n    });\n  }, 1000);\n});\n\n<!-- FINALIZA GOOGLE AD -->\n\n<p>La ecuaci\u00f3n obtenida es la siguiente:<\/p>\n<p style=\"text-align: center\"><strong><em>2M + S = 4<\/em><\/strong><\/p>\n<p>Veamos lo que dice la segunda parte del enunciado: <em>\u00abEl segundo d\u00eda, pediste tres medialunas y dos s\u00e1ndwiches (iguales a los del primer d\u00eda), por los cuales pagaste 7 euros\u00bb<\/em>.<\/p>\n<p>Esto quiere decir que, tres medialunas <em>(<strong>3M<\/strong>)<\/em> m\u00e1s dos s\u00e1ndwiches <em>(<strong>2S<\/strong>)<\/em>, equivalen a <strong>7<\/strong> euros.<\/p>\n<p>La ecuaci\u00f3n resultante de este an\u00e1lisis es la siguiente:<\/p>\n<p style=\"text-align: center\"><strong><em>3M + 2S = 7<\/em><\/strong><\/p>\n<p>Para resolver estas ecuaciones, usaremos el m\u00e9todo de Igualaci\u00f3n. Lo primero que debemos hacer es despejar <em>S<\/em> de la primera ecuaci\u00f3n:<\/p>\n<p style=\"text-align: center\"><strong><em>S = 4 &#8211; 2M<\/em><\/strong><\/p>\n<p>Ahora, vamos a despejar <em>S<\/em> en la segunda ecuaci\u00f3n:<\/p>\n<figure class=\"wp-block-table font-style-italic font-size-18\">\n<table>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>3M + 2S = 7<\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>2S = 7 &#8211; 3M<\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em><strong>S = (7 &#8211; 3M) \/ 2<\/strong><\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<p>Lo siguiente que debemos hacer es igualar las dos nuevas ecuaciones obtenidas y conseguir el valor de <em>M:<\/em><\/p>\n<figure class=\"wp-block-table font-style-italic font-size-18\">\n<table>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>4 &#8211; 2M = (7 &#8211; 3M) \/ 2<\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>2 * (4 &#8211; 2M) = 7 &#8211; 3M<\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>8 &#8211; 4M = 7 &#8211; 3M<\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>3M &#8211; 4M = 7 &#8211; 8<\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em><strong>M = 1<\/strong><\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n\n<!-- GOOGLE AD -->\n<div id=\"ad-inner-content-4\"><\/div>\n\njQuery(\"#collapse-button-own\").on(\"click\", function(){\n  setTimeout(function() {\n    if(jQuery(\"#ad-inner-content-4\").html().trim() !== \"\") { return; }\n    \/\/ script\n    var adScript = document.createElement(\"script\");\n    adScript.type = \"text\/javascript\";\n    adScript.src = \"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js\";\n    adScript.async = \"true\";\n    jQuery(\"#ad-inner-content-4\").append(adScript);\n    \/\/ element\n    var adElement = document.createElement(\"ins\");\n    adElement.setAttribute(\"class\", \"adsbygoogle mb-4\");\n    adElement.setAttribute(\"style\", \"display:block\");\n    adElement.setAttribute(\"data-ad-client\", \"ca-pub-6237324477943455\");\n    adElement.setAttribute(\"data-ad-slot\", \"5867259335\");\n    adElement.setAttribute(\"data-ad-format\", \"auto\");\n    adElement.setAttribute(\"data-full-width-responsive\", \"true\");\n    jQuery(\"#ad-inner-content-4\").append(adElement);\n    \/\/ init\n    jQuery(document).ready(function(){\n      (adsbygoogle = window.adsbygoogle || []).push({});\n    });\n  }, 1000);\n});\n\n<!-- FINALIZA GOOGLE AD -->\n\n<p>Finalmente, sustituimos el valor de <em>M<\/em> en la tercera ecuaci\u00f3n obtenida:<\/p>\n<figure class=\"wp-block-table font-style-italic font-size-18\">\n<table>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>S = 4 &#8211; 2<strong>M<\/strong><\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>S = 4 &#8211; 2 * (<strong>1<\/strong>)<\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>S = 4 &#8211; 2<\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><strong><em>S = 2<\/em><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<h3 class=\"color-gray\"><strong>Para concluir el Acertijo #7 de Acertijos Para Ti<\/strong><\/h3>\n<p>Con los datos obtenidos, sabemos que cada medialuna tiene un costo de 1 euro, y cada s\u00e1ndwich cuesta 2 euros.<\/p>\n<p>No fue dif\u00edcil resolver este acertijo, \u00bfcierto? \u00a1Vamos al siguiente!<\/p>\n<\/div>\n<p><\/div><\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p><em><em><em>Si tienes alguna duda respecto al planteamiento y\/o soluci\u00f3n del Acertijo #7 de <a href=\"https:\/\/www.instagram.com\/acertijosparati\/\" target=\"_blank\" rel=\"noreferrer noopener\">Acertijos Para Ti<\/a>, por favor, deja un comentario y de inmediato solventaremos tus inquietudes. Tambi\u00e9n puedes usar el formulario de <a href=\"https:\/\/erickjrp.com\/acertijos\/contacto\/\" target=\"_blank\" rel=\"noreferrer noopener\">contacto<\/a> para enviar un mensaje privado.<\/em><\/em><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Luego de varias semanas de arduo trabajo, decidiste ir de vacaciones a la playa. Te hospedaste en un hotel por<\/p>\n<div class=\"read-more\"><a href=\"https:\/\/erickjrp.com\/acertijos\/acertijo-7-sandwiches-y-medialunas\/\" class=\"link\">Leer m\u00e1s <i class=\"fa fa-angle-right\"><\/i><span class=\"screen-reader-text\"> \u00abAcertijo #7: S\u00e1ndwiches y medialunas\u00bb<\/span><\/a><\/div>\n","protected":false},"author":1,"featured_media":915,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[1,12],"tags":[7],"class_list":["post-153","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-acertijos-logicos","category-acertijos-numericos","tag-acertijos-faciles"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Acertijo #7: S\u00e1ndwiches y medialunas - Acertijos Para Ti<\/title>\n<meta name=\"description\" content=\"Acertijo #7 - Acertijos Para Ti: Luego de varias semanas de arduo trabajo, decidiste ir de vacaciones a la playa. 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