// Numbas version: finer_feedback_settings
{"name": "Finding an amount if you know what some percentage of it is.", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["onepercentofa1", "a1", "a2", "b1", "b2", "perc1", "perc2"], "name": "Finding an amount if you know what some percentage of it is.", "tags": ["percent"], "preamble": {"css": "", "js": ""}, "advice": "<p><span style=\"text-decoration: underline;\"><strong>To find A, if B% of A is C</strong></span></p>\n    <ol>\n    <li>Find 1% of A, by dividing C by B</li>\n    <li>Multiply 1% of A by 100</li>\n    </ol>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>What's A, if $\\var{perc1}$% of A = $\\var{B1}$.&nbsp; Answer: A = [[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>If&nbsp; $\\var{perc1}\\%$&nbsp; of&nbsp; A = $\\var{B1}$, &nbsp; $1\\%$&nbsp; of&nbsp; A = $\\frac {\\var{B1}} {\\var{perc1} }$ =&nbsp; $\\var{onePercentOfA1}$</p>\n<p>So &nbsp; you&nbsp;&nbsp; want&nbsp; $100 \\times&nbsp; \\var{onePercentOfA1}$ = ?</p>\n<p>Or&nbsp; you&nbsp; can&nbsp; work&nbsp; out&nbsp; $\\frac {\\var{B1}\\times 100} {\\var{perc1} }$&nbsp; directly.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{A1}", "minValue": "{A1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>What's A, if $\\var{perc2}$% of A = $\\var{B2}$.&nbsp; Answer: A = [[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{A2}", "minValue": "{A2}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>What's A, if B% of A is C?</p>\n    <p>For example, what's A, if 30% of A is 21?&nbsp; Answer: A = 70.</p>\n    <p>Try the first question without using a calculator.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"onepercentofa1": {"definition": "B1/perc1", "templateType": "anything", "group": "Ungrouped variables", "name": "onepercentofa1", "description": ""}, "a1": {"definition": "100*random(1..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "a1", "description": ""}, "a2": {"definition": "10*random(1..999)", "templateType": "anything", "group": "Ungrouped variables", "name": "a2", "description": ""}, "b1": {"definition": "A1*perc1/100", "templateType": "anything", "group": "Ungrouped variables", "name": "b1", "description": ""}, "b2": {"definition": "a2*perc2/100", "templateType": "anything", "group": "Ungrouped variables", "name": "b2", "description": ""}, "perc1": {"definition": "2*random(1,2,4,8,10)", "templateType": "anything", "group": "Ungrouped variables", "name": "perc1", "description": ""}, "perc2": {"definition": "100*random(0,0,0,1)+10*random(1..9)+random(1..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "perc2", "description": ""}}, "metadata": {"description": "<p>What's A, if B% of A is C?</p>\n                                                                <p>&nbsp;</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Rob Cade", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/70/"}]}]}], "contributors": [{"name": "Rob Cade", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/70/"}]}