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Problems include standard room costs per night, laundry costs per item, restaurant bills with a service fee plus meal price, pool gallons decreasing by evaporation, gym costs across days with a constant daily rate, minibar value decreasing per removed item, and a loyalty points formula. A final comparison challenge determines when Hotel A becomes the better deal.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/two-variable-equations-word-problems-b-the-hotel-solve-equations-for-costs-fees-and-values/361402/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/two-variable-equations-word-problems-b-the-hotel-solve-equations-for-costs-fees-and-values/361402.png","ImageObject",300,407,{"name":92,"@type":93},"Stanley","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What steps are required for each word problem in this worksheet?","Question",{"text":112,"@type":113},"For each problem, write an equation, complete the table of values, and answer the questions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the total hotel room cost modeled in Problem 1?",{"text":117,"@type":113},"The total cost is modeled as C = 80n, where n is the number of nights.",{"name":119,"@type":110,"acceptedAnswer":120},"In the challenge problem, when does Hotel A become the better deal?",{"text":121,"@type":113},"Hotel A becomes the better deal starting from 2 nights, since 60n + 40 \u003C 90n for n > 1.33.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},361402,1790825823,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144,"preview_page_count":4},2336477405376,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Name:     \nTwo-Variable Equations Word Problems (B)  \nTHE HOTEL  \nDirections: For each problem: write an equation, complete the table of values, and answer questions.  \n1. A hotel charges $80 per night for a standard room. Write an equation for the total cost C for n nights.  \nComplete the table.  \nEquation:    \n\n| Nights (n) | Cost C ($) |\n| --- | --- |\n| 1 | _______ |\n| 2 | _______ |\n| 3 | _______ |\n| 5 | _______ |\n| 7 | _______ |\n\na) How much does a 10-night stay cost?    \nb) A guest pays $480. How many nights did they stay?  \n___________  \n2. The hotel laundry service charges $4 per item. Write an equation for the total laundry cost L for i items.  \nComplete the table.  \nEquation:    \n\n| Items (i) | Laundry Cost L ($) |\n| --- | --- |\n| 1 | _______ |\n| 3 | _______ |\n| 5 | _______ |\n| 8 | _______ |\n| 10 | _______ |\n\na) How much does it cost to clean 12 items?    \nb) A guest’s laundry bill is $28. How many items were cleaned?  \n____________  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n3. The hotel restaurant charges a $5 service fee plus $12 per meal. Write an equation for the total bill B for  \nm meals. Complete the table.  \nEquation:    \n\n| Meals (m) | Total Bill B\u003Cbr>($) |\n| --- | --- |\n| 0 | _______ |\n| 1 | _______ |\n| 2 | _______ |\n| 3 | _______ |\n| 5 | _______ |\n\na) What is the bill for 4 meals?    \nb) A bill totals $89. How many meals were ordered?    \n4. A hotel pool starts with 1,200 gallons and loses 15 gallons per hour to evaporation. Write an equation for the gallons g remaining after h hours. Complete the table.  \nEquation:    \n\n| Hours (h) | Gallons (g) |\n| --- | --- |\n| 0 | _______ |\n| 4 | _______ |\n| 8 | _______ |\n| 12 | _______ |\n| 20 | _______ |\n\na) How many gallons remain after 24 hours?    \nb) After how many hours will the pool have 975 gallons?    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n5. The hotel gym charges guests a daily fee. The table shows total gym cost G for d days. Write an equation relating G and d.  \nEquation:    \n\n| Days (d) | Gym Cost G\u003Cbr>($) |\n| --- | --- |\n| 1 | _______ |\n| 2 | _______ |\n| 3 | _______ |\n| 4 | _______ |\n| 5 | _______ |\n\na) Write the equation. How did you find the daily rate?    \nb) How much for 9 days?    \n6. A hotel minibar starts with items worth $60 total. Each item removed costs $6. The table shows value V  \nremaining after r items are removed. Write an equation for V.  \nEquation:    \n\n| Items Removed (r) | Value V ($) |\n| --- | --- |\n| 0 | _______ |\n| 2 | _______ |\n| 4 | _______ |\n| 6 | _______ |\n| 8 | _______ |\n\na) Write the equation. What does the 60 represent?    \nb) What is the value remaining after 9 items are removed?    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n7. A hotel loyalty program tracks points p earned after s nights stayed. The equation is p = 100s + 500.  \nComplete the table and answer the questions.  \nEquation:    \n\n| Nights (s) | Points (p) |\n| --- | --- |\n| 0 | _______ |\n| 1 | _______ |\n| 2 | _______ |\n| 5 | _______ |\n| 10 | _______ |\n\na) What does the 500 represent?    \nb) What does the 100 represent?    \nChallenge Problem  \n8. Hotel A charges $60 per night plus a $40 booking fee: A = 60n + 40. Hotel B charges $90 per night with no fee: B = 90n. Complete the table for both. Starting from how many nights is Hotel A the better deal?  \n\n| Nights (n) | Hotel A ($) | Hotel B ($) |\n| --- | --- | --- |\n| 1 | _______ | _______ |\n| 2 | _______ | _______ |\n| 3 | _______ | _______ |\n| 4 | _______ | _______ |\n| 5 | _______ | _______ |\n\na) For 1 night, which hotel is cheaper? Show your work.    \nb) Starting from how many nights is Hotel A the better deal? Show your work.    \nMashup M","cbCaiu5IDpKcLp9N","https://ap.wps.com/l/cbCaiu5IDpKcLp9N","pdf",1007210,"English","# Directions\n## Problem 1: Standard room cost\n## Problem 2: Laundry service cost\n## Problem 3: Restaurant bill\n## Problem 4: Pool evaporation\n## Problem 5: Gym daily fee\n## Problem 6: Minibar value remaining\n## Problem 7: Loyalty points\n## Challenge Problem 8: Hotel A vs Hotel B","[{\"question\":\"What steps are required for each word problem in this worksheet?\",\"answer\":\"For each problem, write an equation, complete the table of values, and answer the questions.\"},{\"question\":\"How is the total hotel room cost modeled in Problem 1?\",\"answer\":\"The total cost is modeled as C = 80n, where n is the number of nights.\"},{\"question\":\"In the challenge problem, when does Hotel A become the better deal?\",\"answer\":\"Hotel A becomes the better deal starting from 2 nights, since 60n + 40 \\u003c 90n for n \\u003e 1.33.\"}]","Two-Variable Equations Word Problems (B) - THE HOTEL - Solve equations for costs, fees, and values | PDF",1790144202,15]