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{"name": "Drug Calculations with weights", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"tags": [], "functions": {}, "ungrouped_variables": ["a", "b", "c", "d", "f", "g"], "name": "Drug Calculations with weights", "rulesets": {}, "variables": {"a": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "definition": "random(0.1,0.5,0.01,0.05)"}, "d": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "definition": "precround(b/a,3)"}, "g": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "g", "definition": "a*f"}, "b": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "definition": "random(1,2,5,10)"}, "c": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "definition": "precround((a*f)/b,3)"}, "f": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "f", "definition": "random(45..80#5)"}}, "extensions": [], "statement": "", "preamble": {"js": "", "css": ""}, "variable_groups": [], "metadata": {"description": "<p>Question on drug calculations</p>", "licence": "Creative Commons Attribution 4.0 International"}, "variablesTest": {"maxRuns": 100, "condition": ""}, "advice": "<p><span style=\"text-decoration: underline;\"><strong>Solution</strong></span></p>\n<p>In order to calculate the amount of drug in ml, you need to use the following formula:</p>\n<p>$\\dfrac{\\text{Prescribed dose}}{\\text{Stock Strength}}$ $\\times$ Stock dose.</p>\n<p>In this question: Prescribed dose is $\\var{a}$mg, Stock Strength is $\\var{b}$mg and Stock dose is 1ml.</p>\n<p>However, we also need to consider the weight of the patient in this question. So we need to multiply the Prescribed Dose by the Weight.</p>\n<p>This gives: $\\var{a} \\times \\var{f} = \\var{g}$.&nbsp;</p>\n<p>Then, using the formula:&nbsp;$\\dfrac{\\var{g}}{\\var{b}}$ $\\times$ $1$ = $\\var{c}$ml.</p>\n<p><span style=\"text-decoration: underline;\"><strong>Alternative Solution</strong></span></p>\n<p><span style=\"text-decoration: underline;\"></span>You are told that the stock strength of the drug is $\\var{b}$mg in $1$ml.</p>\n<p>So for every&nbsp;$\\var{b}$mg of the drug we need, we need to give the patient $1$ml.</p>\n<p>This means&nbsp;$\\var{b}$mg = 1ml.</p>\n<p>We need&nbsp;$\\var{a} \\times \\var{f} = \\var{g}$mg to take into account the weight of the patient.</p>\n<p>In order to get&nbsp;$\\var{g}$mg, we divde&nbsp;$\\var{b}$mg by&nbsp;$\\var{b}$ and multiply by $\\var{g}$.</p>\n<p>Because $\\var{b}$mg = $1$ml and we have divided $\\var{b}$mg by $\\var{b}$ and then multiplied by $\\var{g}$ to get $\\var{g}$mg, we must divide the right hand side of the equals sign by $\\var{b}$ and multiply by $\\var{g}$ also.</p>\n<p>So, we have&nbsp;$\\dfrac{\\var{b}}{\\var{b}} \\times \\var{g}$ = $\\dfrac{1}{\\var{b}} \\times \\var{g}$.</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;$\\var{g}$mg = $\\var{c}$ml.</p>\n<p>Therefore we must need to give the patient&nbsp;$\\var{c}$ml.</p>", "parts": [{"gaps": [{"maxValue": "c", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "unitTests": [], "mustBeReducedPC": 0, "correctAnswerFraction": false, "mustBeReduced": false, "customMarkingAlgorithm": "", "showFeedbackIcon": true, "showFractionHint": true, "useCustomName": false, "type": "numberentry", "customName": "", "extendBaseMarkingAlgorithm": true, "minValue": "c", "variableReplacements": [], "allowFractions": false, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "scripts": {}, "marks": "1"}], "variableReplacementStrategy": "originalfirst", "prompt": "<p>Your patient has been prescribed $\\var{a}$ mg/kg of a drug as an injection. The stock strength given is $\\var{b}$mg in $1$ml and the patient weighs $\\var{f}$kg. How many ml do you give to the patient? Give your answer to 3 decimal places where necessary.</p>\n<p>[[0]] ml</p>", "unitTests": [], "sortAnswers": false, "customMarkingAlgorithm": "", "showFeedbackIcon": true, "useCustomName": false, "type": "gapfill", "customName": "", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "showCorrectAnswer": true, "scripts": {}, "marks": 0}], "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}]}]}], "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}]}