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{"name": "Ratios: In Context - Currency conversion with commission", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Ratios: In Context - Currency conversion with commission", "tags": [], "metadata": {"description": "<p>Given the exchange rate between two currencies and the bank's commission rate, calculate how much of one currency you will get for $x$ amount of the other</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>The exchange rate between the Dollar and the Euro is $\\$1 = &euro;\\var{exchange}$ and the Bank charges $\\var{commision}$% commission.</p>\n<p><em>(Round to the nearest cent)</em></p>", "advice": "<p><strong>PART 1</strong><br/>There are two methods you can use.<br/><br/><strong>METHOD 1</strong><br/><br/>$\\frac{&euro;\\var{numberone}}{&euro;\\var{exchange}} \\times \\$1&nbsp;= \\$\\var{precround(ans1,3)}$&nbsp; <em>(Total amount without commission removed)</em></p>\n<p>Commision =$ \\frac{\\var{commision}}{100} \\times \\var{precround(ans1,3)}$</p>\n<p>Final amount after commission removed =&nbsp;$\\$\\var{precround(ans1,3)} - (\\frac{\\var{commision}}{100} \\times \\var{precround(ans1,3)})$ =&nbsp;$\\$\\var{precround(ansone,2)}$<br/><br/><strong>METHOD 2</strong><br/><br/>It would be slightly quicker to remove the commision as a percentage first, i.e. $100 - \\var{commision} = \\var{100-commision}$,&nbsp;<br/>Then calculate the conversion, and remove the commision in one calculation:</p>\n<p>Final amount after commission removed =$\\frac{&euro;\\var{numberone}}{&euro;\\var{exchange}} \\times \\frac{\\var{100 - commision}}{100} =\\$\\var{precround(ansone,2)}$<br/><br/><br/></p>\n<p><em></em><strong>PART 2</strong></p>\n<p><em>To calculate how many Euro you get from $\\$\\var{numbertwo}:$</em></p>\n<p>$\\frac{\\$\\var{numbertwo}}{\\$1}&nbsp;\\times &euro;\\var{exchange}&nbsp;&nbsp;= &euro;\\var{precround(ans2,3)}$ <em>(Total amount without commission removed)</em></p>\n<p>Commision =$ \\frac{\\var{commision}}{100} \\times \\var{precround(ans2,3)}$</p>\n<p>Final amount after commission removed =$&nbsp;&euro;\\var{precround(ans2,3)} - (\\frac{\\var{commision}}{100} \\times \\var{precround(ans2,3)})$ = $&euro;\\var{precround(anstwo,2)}$&nbsp;</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"numberone": {"name": "numberone", "group": "Ungrouped variables", "definition": "random(600..800)", "description": "", "templateType": "anything", "can_override": false}, "ans2": {"name": "ans2", "group": "Ungrouped variables", "definition": "({numbertwo)*{exchange}", "description": "", "templateType": "anything", "can_override": false}, "exchange": {"name": "exchange", "group": 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