// Numbas version: exam_results_page_options
{"name": "proporcionalidad Inversa", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variablesTest": {"maxRuns": 100, "condition": ""}, "variable_groups": [{"name": "Unnamed group", "variables": []}], "preamble": {"js": "", "css": ""}, "statement": "<p>$\\simplify{{a}}\\,$ llaves que entregan la misma cantidad de agua por minuto llenan un estanque en $\\simplify{{k/a}}\\,$ minutos, &iquest;Cu&aacute;nto demorar&aacute;n $\\,\\simplify{{b}}\\,$&nbsp;de estas llaves?</p>\n<p></p>", "ungrouped_variables": ["a", "b", "k"], "name": "proporcionalidad Inversa", "functions": {}, "metadata": {"description": "<p>Shows how to define variables to stop degenerate examples.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "rulesets": {"std": ["All", "fractionnumbers"]}, "parts": [{"scripts": {}, "gaps": [{"scripts": {}, "checkvariablenames": false, "checkingtype": "absdiff", "showFeedbackIcon": true, "variableReplacements": [], "marks": 1, "expectedvariablenames": [], "showCorrectAnswer": true, "checkingaccuracy": 0.001, "answersimplification": "Std", "showpreview": true, "notallowed": {"partialCredit": 0, "strings": ["."], "showStrings": false, "message": "<p>Input your answer as a fraction and not a decimal.</p>"}, "vsetrange": [0, 1], "type": "jme", "variableReplacementStrategy": "originalfirst", "answer": "{(k)/(b)}", "vsetrangepoints": 5}], "showFeedbackIcon": true, "variableReplacements": [], "marks": 0, "type": "gapfill", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "prompt": "<p></p>\n<p>Demoran&nbsp;&nbsp;[[0]]&nbsp; minutos.</p>"}], "extensions": [], "tags": [], "advice": "<p>Se trata de un problema de proporcionalidad inversa, ya que si una variable disminuye la otra aumenta de manera proporcional.</p>\n<p>\\begin{align}<br/>\\begin{array}{ccc}<br/>\\text{Cantidad de Llaves} &amp; &amp; \\text{Minutos} \\\\ <br/>\\simplify{{a}}&nbsp;&amp; \\longrightarrow &amp; \\simplify{{k/a}} \\\\ <br/>\\simplify{{b}} &amp; \\longrightarrow &amp; \\simplify{x}<br/>\\end{array}<br/>\\end{align}</p>\n<p>Como se trata de un problema de proporcionalidad inversa, tenemos que invertir la segunda columna:</p>\n<p>\\begin{align}<br/>\\begin{array}{ccc}<br/>\\simplify{{a}}&nbsp;&amp; \\longrightarrow &amp; \\simplify{x} \\\\<br/>\\simplify{{b}} &amp; \\longrightarrow &amp; \\simplify{{k/a}}<br/>\\end{array}<br/>\\end{align}</p>\n<p></p>\n<p>Calculamos el valor de $\\,x$</p>\n<p>\\begin{align}<br/>\\simplify[std]{x}=\\dfrac{\\simplify{{k/a}}\\cdot\\simplify{{a}}}{\\simplify{{b}}}=\\simplify{({(k/a)}{a})/{b}}<br/>\\end{align}</p>\n<p></p>\n<p>Se demoran $\\,\\simplify{{k/b}}\\,$ minutos.</p>", "variables": {"a": {"name": "a", "definition": "random(3,4,5,6,8,10)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "k": {"name": "k", "definition": "120", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "b": {"name": "b", "definition": "random(2..10 except [a,7,9])", "templateType": "anything", "group": "Ungrouped variables", "description": ""}}, "type": "question", "contributors": [{"name": "Patricio Ramirez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/191/"}]}]}], "contributors": [{"name": "Patricio Ramirez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/191/"}]}