// Numbas version: exam_results_page_options
{"name": "Percentages: In Context - Revenue of phone providers in Europe", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Percentages: In Context - Revenue of phone providers in Europe", "tags": [], "metadata": {"description": "<p>Calculating the revenue distribution of two phone providers for different countries in Europe</p>", "licence": "None specified"}, "statement": "<p></p>\n<table width=\"723\" height=\"169\" style=\"border-color: #000000; height: 279px;\">\n<tbody>\n<tr>\n<td style=\"width: 228.203125px; vertical-align: middle;\"></td>\n<td style=\"width: 222.90625px; vertical-align: middle;\">\n<p><strong>X-Mobile</strong></p>\n</td>\n<td style=\"width: 222.90625px; vertical-align: middle;\">\n<p><strong>Y-Mobile</strong></p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 228.203125px; vertical-align: middle;\">\n<p><strong>France</strong></p>\n</td>\n<td style=\"width: 222.90625px; vertical-align: middle;\">\n<p>{Fxp} %</p>\n</td>\n<td style=\"width: 222.90625px; vertical-align: middle;\">\n<p>{Fyp} %</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 228.203125px; vertical-align: middle;\">\n<p><strong>Spain</strong></p>\n</td>\n<td style=\"width: 222.90625px; vertical-align: middle;\">\n<p>{Sxp} %</p>\n</td>\n<td style=\"width: 222.90625px; vertical-align: middle;\">\n<p>{Syp} %</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 228.203125px; vertical-align: middle;\"><strong>Italy</strong></td>\n<td style=\"width: 222.90625px; vertical-align: middle;\">\n<p>{Ixp}&nbsp; %</p>\n</td>\n<td style=\"width: 222.90625px; vertical-align: middle;\">\n<p>{Iyp} %</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 228.203125px; vertical-align: middle;\"><strong>Germany</strong></td>\n<td style=\"width: 222.90625px; vertical-align: middle;\">\n<p>{Gxp} %</p>\n</td>\n<td style=\"width: 222.90625px; vertical-align: middle;\">\n<p>{Gyp} %</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 228.203125px; vertical-align: middle;\"><strong>Total (Euros)</strong></td>\n<td style=\"width: 222.90625px; vertical-align: middle;\">\n<p>{totalX}</p>\n</td>\n<td style=\"width: 222.90625px; vertical-align: middle;\">\n<p>{totalY}</p>\n</td>\n</tr>\n</tbody>\n</table>\n<p>The table above gives the revenue distribution&nbsp;for two companies, X-mobile and Y-mobile.&nbsp; </p>", "advice": "<p>The first thing to check is if there are any obvious answers, without calculating.<br/><br/>Since the total for X-mobile is lower than that for Y-mobile ({totalX} is less than {totalY}), any country in which the X-mobile % is lower than the Y-mobile %, will result in a lower value for X-mobile. &nbsp;<br/><br/>So we can see that:</p>\n<p>In France {France}.<br/>In Spain {Spain}.<br/>In Italy {Italy}.<br/>In Germany {Germany}.<br/><br/>We can select 'false' for countries we know to have lower X-mobile values.<br/><br/>Now just calculate excact values for the countries that require it. &nbsp;The quickest way to do this&nbsp;is using&nbsp;the formula for percentage, you&nbsp;can type it all into your calculator in one line.</p>\n<p></p>\n<table height=\"169\" style=\"border-color: #000000; height: 279px; width: 826.84375px;\">\n<tbody>\n<tr>\n<td style=\"width: 228px; vertical-align: middle;\"></td>\n<td style=\"width: 261px; vertical-align: middle;\">\n<p><strong>X-Mobile</strong></p>\n</td>\n<td style=\"width: 287.84375px; vertical-align: middle;\">\n<p><strong>Y-Mobile</strong></p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 228px; vertical-align: middle;\">\n<p><strong>France</strong></p>\n</td>\n<td style=\"width: 261px; vertical-align: middle;\">\n<p>{Fxp} * 0.01 * {totalX} = {Fxp*0.01*totalX}</p>\n</td>\n<td style=\"width: 287.84375px; vertical-align: middle;\">\n<p>{Fyp} * 0.01 * {totalY} = {Fyp*0.01*totaly}</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 228px; vertical-align: middle;\">\n<p><strong>Spain</strong></p>\n</td>\n<td style=\"width: 261px; vertical-align: middle;\">\n<p>{Sxp} * 0.01 * {totalX} = {Sxp*0.01*totalX}</p>\n</td>\n<td style=\"width: 287.84375px; vertical-align: middle;\">\n<p>{Syp} * 0.01 * {totaly} = {Syp*0.01*totaly}</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 228px; vertical-align: middle;\"><strong>Italy</strong></td>\n<td style=\"width: 261px; vertical-align: middle;\">\n<p>{Ixp} * 0.01 * {totalX} = {Ixp*0.01*totalX}</p>\n</td>\n<td style=\"width: 287.84375px; vertical-align: middle;\">\n<p>{Iyp} * 0.01 * {totaly} = {Iyp*0.01*totaly}</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 228px; vertical-align: middle;\"><strong>Germany</strong></td>\n<td style=\"width: 261px; vertical-align: middle;\">\n<p>{Gxp} * 0.01 * {totalX} = {Gxp*0.01*totalX}</p>\n</td>\n<td style=\"width: 287.84375px; vertical-align: middle;\">\n<p>{Gyp} * 0.01 * {totaly} = {Gyp*0.01*totaly}</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 228px; vertical-align: middle;\"><strong>Total (Euros)</strong></td>\n<td style=\"width: 261px; vertical-align: middle;\">\n<p>{totalX}</p>\n</td>\n<td style=\"width: 287.84375px; vertical-align: middle;\">\n<p>{totalY}</p>\n</td>\n</tr>\n</tbody>\n</table>\n<p><br/>We can now compare the values.</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"Fx": {"name": "Fx", "group": "Ungrouped variables", "definition": "random(1000..11000 #1000)\n", "description": "", "templateType": "anything", "can_override": false}, "Fy": {"name": "Fy", "group": "Ungrouped variables", "definition": "random(1000..11000 #1000)\n", "description": "", "templateType": "anything", "can_override": false}, "Sx": {"name": "Sx", "group": "Ungrouped variables", "definition": "random(1000..11000 #1000)\n", "description": "", "templateType": "anything", "can_override": false}, "Sy": {"name": "Sy", "group": "Ungrouped variables", "definition": 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