// Numbas version: exam_results_page_options
{"name": "Razones", "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>El dinero de dos personas est&aacute; en la raz&oacute;n de $\\simplify{{a}}:\\simplify{{b}}$, si una de ellas tiene $\\,\\,\\$$ $\\simplify{{(a-b)*(d^n)}}\\,\\,$ m&aacute;s que la otra. &iquest;Cu&aacute;nto dinero tiene cada persona?.</p>\n<p></p>", "name": "Razones", "ungrouped_variables": ["a", "b", "d", "n", "c"], "advice": "<p>Sea:</p>\n<p></p>\n<p>\\begin{align}<br/>\\simplify[std]{x+{c}}&amp;: \\text{La cantidad mayor de dinero.}\\\\\\\\\\simplify[std]{x}&amp;: \\text{La cantidad menor de dinero.}<br/>\\end{align}</p>\n<p>Del enunciado podemos plantear la siguiente ecuaci&oacute;n:</p>\n<p>\\begin{align}<br/>\\simplify[std]{(x+{c})/x}=\\simplify[std]{{a/b}}<br/>\\end{align}</p>\n<p>Ahora resolvemos la ecuaci&oacute;n:</p>\n<p>\\begin{align}<br/>\\simplify[std]{{b}(x+{c})}=\\simplify[std]{x*{a}}\\\\\\\\\\simplify{{b}*x+{c*b}}=\\simplify{x*{a}}\\\\\\\\\\simplify{x}=\\simplify{{(c*b)/(a-b)}}<br/>\\end{align}</p>\n<p>La cantidad mayor de dinero es de:&nbsp;$\\,\\$$ $\\simplify{{c+(c*b)/(a-b)}}$</p>\n<p>La cantidad&nbsp;menor de dinero es de:&nbsp;$\\,\\$$ $\\simplify{{(c*b)/(a-b)}}$</p>\n<p></p>", "variables": {"a": {"name": "a", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "random(8,11,13,16,17)"}, "n": {"name": "n", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "random(3,4)"}, "b": {"name": "b", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "random(3,5,7)"}, "d": {"name": "d", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "random(6,7,8,9)"}, "c": {"name": "c", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "(a-b)*(d^n)"}}, "rulesets": {"std": ["All", "fractionnumbers"]}, "parts": [{"scripts": {}, "showCorrectAnswer": true, "prompt": "<p></p>\n<p>Persona con mayor dinero:&nbsp;$\\,\\,\\$$&nbsp;&nbsp;[[0]]&nbsp; &nbsp; Persona con menor dinero:&nbsp;$\\,\\,\\$$&nbsp;[[1]]&nbsp;</p>\n<p></p>\n<p></p>", "showFeedbackIcon": true, "marks": 0, "type": "gapfill", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "gaps": [{"showFeedbackIcon": true, "showpreview": true, "answer": "{c+(c*b)/(a-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": []}, {"showFeedbackIcon": true, "showpreview": true, "answer": "{(c*b)/(a-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/"}]}