// Numbas version: exam_results_page_options
{"name": "Tablet combinations (20, 40, 150 mg)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"ungrouped_variables": ["a", "b", "c", "dose", "aans", "bans", "cans"], "variables": {"cans": {"description": "", "templateType": "anything", "name": "cans", "definition": "random(0..2)", "group": "Ungrouped variables"}, "aans": {"description": "", "templateType": "anything", "name": "aans", "definition": "random(0..1)", "group": "Ungrouped variables"}, "a": {"description": "<p>20,40,100,150,200,250</p>", "templateType": "anything", "name": "a", "definition": "20", "group": "Ungrouped variables"}, "dose": {"description": "", "templateType": "anything", "name": "dose", "definition": "aans*a+b*bans+c*cans", "group": "Ungrouped variables"}, "c": {"description": "", "templateType": "anything", "name": "c", "definition": "150", "group": "Ungrouped variables"}, "bans": {"description": "", "templateType": "anything", "name": "bans", "definition": "random(2..4)", "group": "Ungrouped variables"}, "b": {"description": "<p>20,40,100,150,200,250</p>", "templateType": "anything", "name": "b", "definition": "40", "group": "Ungrouped variables"}}, "extensions": [], "preamble": {"css": "", "js": ""}, "functions": {}, "parts": [{"prompt": "<p>A medication is available in $\\var{a}$ mg, $\\var{b}$ mg and $\\var{c}$ mg strengths. What is the best combination of tablets to give a dose of $\\var{dose}$ mg without&nbsp;halving&nbsp;tablets?</p>\n<p>[[0]]&nbsp;$\\times $ $\\var{a}$ mg&nbsp;tablets</p>\n<p>[[1]]&nbsp;$\\times $ $\\var{b}$ mg&nbsp;tablets&nbsp;</p>\n<p>[[2]]&nbsp;$\\times $ $\\var{c}$ mg&nbsp;tablets&nbsp;</p>", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "variableReplacements": [], "customName": "", "showCorrectAnswer": true, "marks": 0, "type": "gapfill", "extendBaseMarkingAlgorithm": true, "scripts": {}, "customMarkingAlgorithm": "", "useCustomName": false, "gaps": [{"type": "numberentry", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "correctAnswerFraction": false, "customName": "", "maxValue": "aans", "showCorrectAnswer": true, "marks": 1, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "customMarkingAlgorithm": "", "useCustomName": false, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "mustBeReduced": false, "minValue": "aans", "showFractionHint": true, "unitTests": []}, {"type": "numberentry", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "correctAnswerFraction": false, "customName": "", "maxValue": "bans", "showCorrectAnswer": true, "marks": 1, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "customMarkingAlgorithm": "", "useCustomName": false, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "mustBeReduced": false, "minValue": "bans", "showFractionHint": true, "unitTests": []}, {"type": "numberentry", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "correctAnswerFraction": false, "customName": "", "maxValue": "cans", "showCorrectAnswer": true, "marks": 1, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "customMarkingAlgorithm": "", "useCustomName": false, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "mustBeReduced": false, "minValue": "cans", "showFractionHint": true, "unitTests": []}], "sortAnswers": false, "unitTests": []}], "variablesTest": {"maxRuns": 100, "condition": ""}, "tags": [], "rulesets": {}, "variable_groups": [], "metadata": {"description": "<p>Given a dose and available tablets, determine the best combination of tablets, to minimise the number of tablets and avoid dividing tablets. Uses 20, 40 and 150 mg.</p><p><br></p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "name": "Tablet combinations (20, 40, 150 mg)", "statement": "<p>Evaluate the following&nbsp;without using a calculator.</p>\n<p>If you are unsure of how to do&nbsp;a question, click on&nbsp;<i>Reveal answers</i>&nbsp;to see the full working. Then, once you understand how to do the question, click on&nbsp;<em>Try another question like this one</em>&nbsp;to start again.</p>", "advice": "<p>To minimise the number of tablets that a patient has to take we use stronger tablets first to get the desired dose of $\\var{dose}$ mg.</p>\n<p>That is, we can use $\\var{cans}$ tablet<span data-jme-visible=\"cans&lt;&gt;1\">s</span>&nbsp;of $\\var{c}$ mg. Then $\\var{bans}$ tablet<span data-jme-visible=\"bans&lt;&gt;1\">s</span>&nbsp;of $\\var{b}$ mg. And then $\\var{aans}$ tablet<span data-jme-visible=\"aans&lt;&gt;1\">s</span>&nbsp;of $\\var{a}$ mg.&nbsp;</p>", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}