// Numbas version: exam_results_page_options
{"name": "Compound units : shopping for bananas", "extensions": ["random_person"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"description": "<p>This question assesses the student's ability to use some given information involving two different units of measurement to&nbsp;rewrite&nbsp;the&nbsp;information&nbsp;as a&nbsp;compound measure.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "rulesets": {}, "type": "question", "ungrouped_variables": ["person", "a", "b", "b_pack", "b_single", "mark_matrix"], "extensions": ["random_person"], "advice": "<h4>a)</h4>\n<p><span data-jme-visible=\"b&gt;=100\">The pack price at Fine Fare supermarket is {b_pack}, which converted to pence is&nbsp;{b}p.</span></p>\n<p>The price per banana at Fine Fare supermarket is</p>\n<p>\\[ \\var{b} \\div 5 = \\var{b_single}\\text{p.}\\]</p>\n<h4>b)</h4>\n<p>As the price at Hintons supermarket is cheaper, {person['pronouns']['they']}&nbsp;should shop there.</p>\n<h4>c)</h4>\n<p>The new price per banana at Fine Fare Supermarket is</p>\n<p>\\begin{align}<br/>\\var{b} \\div 6 &amp;= \\var{if(isint(b/6),b/6,dpformat(b/6,1))}\\text{p.} \\\\<br/>\\end{align}</p>\n<p><span data-jme-visible=\"b/6&gt;a\">Since the price at Hintons Supermarket is still cheaper, {person['name']} should not change {person['pronouns']['their']} decision.</span></p>\n<p><span data-jme-visible=\"b/6&lt;a\">Since the price at Fine Fare Supermarket is now cheaper, {person['name']} should change {person['pronouns']['their']} decision.</span></p>\n<p></p>", "variable_groups": [], "statement": "<p>{person['name']} is shopping for bananas and has two local supermarkets:</p>\n<p>Hintons Supermarket charges {a}p per banana.</p>\n<p>Fine Fare Supermarket&nbsp;charges {b_pack}&nbsp;for a pack of 5 bananas.</p>", "name": "Compound units : shopping for bananas", "parts": [{"scripts": {}, "variableReplacementStrategy": "originalfirst", "type": "gapfill", "showCorrectAnswer": true, "prompt": "<p>What is the price per banana (in pence) at Fine Fare Supermarket?</p>\n<p>[[0]]p/banana</p>", "variableReplacements": [], "showFeedbackIcon": true, "marks": 0, "gaps": [{"correctAnswerFraction": false, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "showFeedbackIcon": true, "marks": 1, "minValue": "b_single", "scripts": {}, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "maxValue": "b_single", "mustBeReduced": false, "allowFractions": false, "variableReplacements": [], "correctAnswerStyle": "plain", "showCorrectAnswer": true}]}, {"shuffleChoices": false, "minMarks": 0, "showCorrectAnswer": true, "displayColumns": 0, "variableReplacements": [], "showFeedbackIcon": true, "prompt": "<p>If {person['name']} is interested in getting the best value for money per banana, which supermarket should {person['pronouns']['they']} shop at?</p>", "choices": ["<p>Hintons Supermarket</p>", "<p>Fine Fare Supermarket</p>"], "scripts": {}, "variableReplacementStrategy": "originalfirst", "type": "1_n_2", "maxMarks": 0, "marks": 0, "distractors": ["", ""], "matrix": ["1", 0], "displayType": "radiogroup"}, {"shuffleChoices": false, "minMarks": 0, "showCorrectAnswer": true, "displayColumns": 0, "showFeedbackIcon": true, "prompt": "<p>{person['name']} notices that some of the bags of bananas at Fine Fare Supermarket contain 6 bananas and wonders if that will make a difference to {person['pronouns']['their']}&nbsp;decision. Assuming that {person['pronouns']['they']} can get hold of a pack of 6 bananas at Fine Fare, which supermarket should {person['pronouns']['they']} now shop at?</p>", "choices": ["<p>Hintons Supermarket</p>", "<p>Fine Fare Supermarket</p>"], "scripts": {}, "variableReplacementStrategy": "originalfirst", "type": "1_n_2", "maxMarks": 0, "marks": 0, "variableReplacements": [], "matrix": "mark_matrix", "displayType": "radiogroup"}], "tags": ["compound measures", "Compound measures", "Compound units of measurement", "price", "rate of pay", "taxonomy"], "preamble": {"css": "", "js": ""}, "functions": {}, "variables": {"b_pack": {"description": "<p>formatted price of the pack</p>", "group": "Ungrouped variables", "definition": "currency(b/100,\"\u00a3\",\"p\")", "name": "b_pack", "templateType": "anything"}, "b_single": {"description": "<p>Single banana price at fine fare</p>", "group": "Ungrouped variables", "definition": "b/5", "name": "b_single", "templateType": "anything"}, "a": {"description": "<p>cost&nbsp;per banana in&nbsp;Hintons</p>", "group": "Ungrouped variables", "definition": "random(12..19)", "name": "a", "templateType": "anything"}, "b": {"description": "<p>Price of pack of bananas at Fine Fare</p>", "group": "Ungrouped variables", "definition": "a*5+random(5..20#5 except a)", "name": "b", "templateType": "anything"}, "person": {"description": "", "group": "Ungrouped variables", "definition": "random_person()", "name": "person", "templateType": "anything"}, "mark_matrix": {"description": "", "group": "Ungrouped variables", "definition": "if(b/6>a,[1,0],[0,1])", "name": "mark_matrix", "templateType": "anything"}}, "variablesTest": {"maxRuns": 100, "condition": ""}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Elliott Fletcher", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1591/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Elliott Fletcher", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1591/"}]}