// Numbas version: exam_results_page_options
{"name": "proporcionalidad directa", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Shows how to define variables to stop degenerate examples.</p>"}, "functions": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "preamble": {"js": "", "css": ""}, "variable_groups": [{"name": "Unnamed group", "variables": []}], "statement": "<p>Si $\\,\\simplify{{a}}\\,$ kilos de manzanas tienen un valor de $\\$$&nbsp;$\\simplify{{k*a}}\\,$, &iquest;Cu&aacute;l es el valor de $\\,\\simplify{{b}}\\,$ kilos de manzanas?</p>\n<p></p>", "name": "proporcionalidad directa", "ungrouped_variables": ["a", "b", "k"], "advice": "<p>Se trata de un problema de proporcionalidad directa,&nbsp;ya que al aumentar una de ellas la otra aumenta de manera proporcional o bien al disminuir una de ellas la otra disminuye de manera proporcional</p>\n<p>\\begin{align}<br/>\\begin{array}{ccc}<br/>\\text{kilos} &amp; &amp; \\text{precio} \\\\ <br/>\\simplify{{a}}&nbsp;&amp; \\longrightarrow &amp; \\simplify{{k*a}} \\\\ <br/>\\simplify{{b}} &amp; \\longrightarrow &amp; \\simplify{y}<br/>\\end{array}<br/>\\end{align}</p>\n<p>Calculamos el valor de $\\,y$</p>\n<p>\\begin{align}<br/>\\simplify[std]{y}=\\dfrac{\\simplify{{k*a}}\\cdot\\simplify{{b}}}{\\simplify{{a}}}=\\simplify{({(k*a)}{b})/{a}}<br/>\\end{align}</p>\n<p>El valor de $\\,\\simplify{{b}}\\,$ kilos de manzanas es de $\\$$ $\\,\\simplify{{k*b}}\\,$.</p>", "variables": {"a": {"name": "a", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "random(3..12)"}, "b": {"name": "b", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "random(2..12 except a)"}, "k": {"name": "k", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "random(240,280,320,360)"}}, "rulesets": {"std": ["All", "fractionnumbers"]}, "parts": [{"scripts": {}, "showCorrectAnswer": true, "prompt": "<p></p>\n<p>El valor de $\\,\\simplify{{b}}\\,$ kilos de manzanas es de $\\$$&nbsp; [[0]]&nbsp;</p>", "showFeedbackIcon": true, "marks": 0, "type": "gapfill", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "gaps": [{"showFeedbackIcon": true, "showpreview": true, "answer": "{(k*b)}", "vsetrange": [0, 1], "answersimplification": "Std", "checkingtype": "absdiff", "checkingaccuracy": 0.001, "scripts": {}, "showCorrectAnswer": true, "expectedvariablenames": [], "marks": 1, "vsetrangepoints": 5, "type": "jme", "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "notallowed": {"showStrings": false, "message": "<p>Input your answer as a fraction and not a decimal.</p>", "partialCredit": 0, "strings": ["."]}, "variableReplacements": []}]}], "extensions": [], "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/"}]}