{"id":236186,"date":"2025-06-16T05:49:09","date_gmt":"2025-06-16T05:49:09","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=236186"},"modified":"2025-06-16T05:49:11","modified_gmt":"2025-06-16T05:49:11","slug":"the-price-of-a-hotel-room-in-helsinki-is-159-euros-night","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/16\/the-price-of-a-hotel-room-in-helsinki-is-159-euros-night\/","title":{"rendered":"The price of a hotel room in Helsinki is 159 euros\/night."},"content":{"rendered":"\n<p>The price of a hotel room in Helsinki is 159 euros\/night. The exchange rates are 1 EUR = 1.0819 USD and 1 USD = 0.7732 GBP. Calculate the price of the room in British pounds (GBP). (EUR = euro, USD = American dollar, GBP = British pound) 2. Corrected_text: A company&#8217;s costs are divided into two parts, variable costs and fixed costs. The variable costs are 155,000\u00e2\u201a\u00ac, which is 62% of the total costs. How many euros are the fixed costs? 3. Corrected_text: A small restaurant serves three different starters, four main dishes, and two desserts. The ingredients for one of the starters and one of the main courses have run out. A foreign customer, who does not understand the language of the menu, orders a full menu by randomly picking all three courses. What is the probability that the customer orders both the starter and the main course which cannot be made?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Here are the correct answers and a detailed explanation for each of the three problems:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>1. Converting 159 EUR to GBP using given exchange rates<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Given:\n<ul class=\"wp-block-list\">\n<li>1 EUR = 1.0819 USD<\/li>\n\n\n\n<li>1 USD = 0.7732 GBP<\/li>\n\n\n\n<li>Hotel price = 159 EUR<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 1<\/strong>: Convert EUR to USD<br>159&nbsp;EUR\u00d71.0819&nbsp;USD1&nbsp;EUR=171.0261&nbsp;USD159\\ \\text{EUR} \\times \\frac{1.0819\\ \\text{USD}}{1\\ \\text{EUR}} = 171.0261\\ \\text{USD}159&nbsp;EUR\u00d71&nbsp;EUR1.0819&nbsp;USD\u200b=171.0261&nbsp;USD<\/p>\n\n\n\n<p><strong>Step 2<\/strong>: Convert USD to GBP<br>171.0261&nbsp;USD\u00d70.7732&nbsp;GBP1&nbsp;USD\u2248132.301&nbsp;GBP171.0261\\ \\text{USD} \\times \\frac{0.7732\\ \\text{GBP}}{1\\ \\text{USD}} \\approx 132.301\\ \\text{GBP}171.0261&nbsp;USD\u00d71&nbsp;USD0.7732&nbsp;GBP\u200b\u2248132.301&nbsp;GBP<\/p>\n\n\n\n<p><strong>Answer<\/strong>: The price of the hotel room is approximately <strong>132.30 GBP<\/strong> (rounded to 2 decimal places).<\/p>\n\n\n\n<p><strong>Explanation<\/strong>:<br>To convert the price of a hotel room from euros to British pounds, the exchange rates are applied in two steps. The euro amount is first multiplied by the EUR to USD conversion rate. The resulting value in USD is then multiplied by the USD to GBP conversion rate. This two-step method ensures the final result is in GBP. Maintaining correct significant figures and using accurate conversion factors yields the most reliable result.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>2. Finding fixed costs when variable costs are 62% of total<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Variable costs = \u20ac155,000<\/li>\n\n\n\n<li>This represents 62% of total costs<\/li>\n<\/ul>\n\n\n\n<p>Let <strong>T<\/strong> represent total costs.<\/p>\n\n\n\n<p>Set up the equation:<br>0.62T=155,0000.62T = 155,0000.62T=155,000<\/p>\n\n\n\n<p>Solve for T:<br>T=155,0000.62=250,000T = \\frac{155,000}{0.62} = 250,000T=0.62155,000\u200b=250,000<\/p>\n\n\n\n<p>Fixed costs = Total costs \u2013 Variable costs<br>Fixed costs = 250,000 \u2013 155,000 = <strong>\u20ac95,000<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong>: The fixed costs are <strong>\u20ac95,000<\/strong><\/p>\n\n\n\n<p><strong>Explanation<\/strong>:<br>The variable costs are known to be 62% of the total costs. By expressing this percentage relationship algebraically, the total cost can be found by dividing the variable cost amount by 0.62. Once the total cost is calculated, subtracting the variable costs gives the fixed portion. This approach separates each component of the cost structure and uses proportional reasoning to reach the answer.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>3. Probability the customer picks both missing dishes<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3 starters \u2192 1 is unavailable \u2192 2 available<\/li>\n\n\n\n<li>4 main dishes \u2192 1 is unavailable \u2192 3 available<\/li>\n\n\n\n<li>2 desserts \u2192 all available<\/li>\n\n\n\n<li>Total starter choices: 3<\/li>\n\n\n\n<li>Total main choices: 4<\/li>\n<\/ul>\n\n\n\n<p>Only <strong>1<\/strong> specific starter and <strong>1<\/strong> specific main dish are unavailable.<\/p>\n\n\n\n<p>Total possible combinations of full meals:<br>3&nbsp;starters\u00d74&nbsp;mains\u00d72&nbsp;desserts=243 \\text{ starters} \\times 4 \\text{ mains} \\times 2 \\text{ desserts} = 243&nbsp;starters\u00d74&nbsp;mains\u00d72&nbsp;desserts=24<\/p>\n\n\n\n<p>Only <strong>1<\/strong> combination includes both the unavailable starter and unavailable main course.<\/p>\n\n\n\n<p>So, favorable outcomes = 1<br>Total outcomes = 24<\/p>\n\n\n\n<p>Probability = 124\\frac{1}{24}241\u200b<\/p>\n\n\n\n<p><strong>Answer<\/strong>: The probability is <strong>124\\frac{1}{24}241\u200b<\/strong><\/p>\n\n\n\n<p><strong>Explanation<\/strong>:<br>The customer selects one dish from each category at random. Only one specific combination includes both the unavailable starter and the unavailable main course. By calculating the total number of possible three-course combinations and identifying the single unfavorable one, the desired probability is found by taking the ratio of the unfavorable case to the total. The dessert does not affect the outcome because both options are available.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-652.jpeg\" alt=\"\" class=\"wp-image-236187\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The price of a hotel room in Helsinki is 159 euros\/night. The exchange rates are 1 EUR = 1.0819 USD and 1 USD = 0.7732 GBP. Calculate the price of the room in British pounds (GBP). (EUR = euro, USD = American dollar, GBP = British pound) 2. Corrected_text: A company&#8217;s costs are divided into [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-236186","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/236186","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=236186"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/236186\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=236186"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=236186"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=236186"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}