[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-482737-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-482737-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","solving-an-equation-from-a-word-problem-multiplication","Solving an Equation from a Word Problem - Multiplication","","Use multiplication equations to solve word problems where two equal parts combine to a known total. Each scenario defines an unknown number of identical items or equal-colored items, then sets up the relationship as a product (e.g., 2 × n = total or 4 × c = total). Problems cover quantities of chairs, balloons, puzzles, kites, lights, seeds/tulips, and books, asking for the value of n or c for each case.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/solving-an-equation-from-a-word-problem-multiplication/482737/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/solving-an-equation-from-a-word-problem-multiplication/482737.png","ImageObject",300,407,{"name":42,"@type":43},"pop out","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you set up these word problems using multiplication?","Question",{"text":63,"@type":64},"Identify the two equal groups and write an equation as a product (for example, 2 × n = total or 3 × c = total). The unknown variable represents the value you want to find.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What does n represent in the chair, balloon, light, and tulip problems?",{"text":68,"@type":64},"In those problems, n represents the number of items of each color (or each group), since the total is split into two equal parts.",{"name":70,"@type":61,"acceptedAnswer":71},"How do you solve the puzzle, kite, and book cost problems (c)?",{"text":72,"@type":64},"Use the given equation showing how many identical items make the total cost (such as 4 × c = 60, 3 × c = 18, or 3 × c = 42), then divide the total by the multiplier to find c.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},482737,1792855079,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110,"preview_page_count":4},962090760408,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Solving an Equation from a Word Problem (Multiplication) Name:  \n\n| Use the equation to answer each question.\u003Cbr>1) Adam arranged 76 chairs for a concert. He set out an equal number of red chairs and white chairs. The number of chairs of each color, n, can be found using this equation.\u003Cbr>2 × n = 76\u003Cbr>How many chairs of each color did Adam set out?\u003Cbr>3) Rachel hung up 28 balloons for a party. She used an equal number of green balloons and yellow balloons. The number of balloons of each color, n, can be found using this equation.\u003Cbr>2 × n = 28\u003Cbr>How many balloons of each color did Rachel hang up?\u003Cbr>5) Tiffany bought 52 balloons for the party. She bought an equal number of blue balloons and gold balloons. The number of balloons of each color, n, can be found using this equation.\u003Cbr>2 × n = 52\u003Cbr>How many balloons of each color did Tiffany buy?\u003Cbr>7) Lana ordered 4 identical puzzles online for 60 dollars in all. The cost of each puzzle in dollars, c, can be found using this equation.\u003Cbr>4 × c = 60\u003Cbr>How many dollars did each puzzle cost?\u003Cbr>2) George handed the cashier 18 dollars for 3 identical kites. The cost of each kite in dollars, c, can be found using this equation.\u003Cbr>3 × c = 18\u003Cbr>How many dollars did each kite cost?\u003Cbr>4) Dave hung up 42 lights on his porch. He used an equal number of purple lightsand orange lights. The number of lights of each color, n, can be found using this equation.\u003Cbr>2 × n = 42\u003Cbr>How many lights of each color did Dave hang?\u003Cbr>6) Tom planted 54 seeds in his garden. He planted an equal number of purple tulips and orange tulips. The number of tulips of each color, n, can be found using this equation.\u003Cbr>2 × n = 54\u003Cbr>How many tulips of each color did Tom plant?\u003Cbr>8) Amy spent 42 dollars buying 3 matching books. The price of each book in dollars, c, can be found using this equation.\u003Cbr>3 × c = 42\u003Cbr>How many dollars did each book cost? |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8. |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 | 75 | 63 | 50 |  | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \n Solving an Equation from a Word Problem (Multiplication) Name: Answer Key  \n\n| Use the equation to answer each question.\u003Cbr>1) Adam arranged 76 chairs for a concert. He set out an equal number of red chairs and white chairs. The number of chairs of each color, n, can be found using this equation.\u003Cbr>2 × n = 76\u003Cbr>How many chairs of each color did Adam set out?\u003Cbr>3) Rachel hung up 28 balloons for a party. She used an equal number of green balloons and yellow balloons. The number of balloons of each color, n, can be found using this equation.\u003Cbr>2 × n = 28\u003Cbr>How many balloons of each color did Rachel hang up?\u003Cbr>5) Tiffany bought 52 balloons for the party. She bought an equal number of blue balloons and gold balloons. The number of balloons of each color, n, can be found using this equation.\u003Cbr>2 × n = 52\u003Cbr>How many balloons of each color did Tiffany buy?\u003Cbr>7) Lana ordered 4 identical puzzles online for 60 dollars in all. The cost of each puzzle in dollars, c, can be found using this equation.\u003Cbr>4 × c = 60\u003Cbr>How many dollars did each puzzle cost? | 2) George handed the cashier 18 dollars for 3 identical kites. The cost of each kite in dollars, c, can be found using this equation.\u003Cbr>3 × c = 18\u003Cbr>How many dollars did each kite cost?\u003Cbr>4) Dave hung up 42 lights on his porch. He used an equal number of purple lightsand orange lights. The number of lights of each color, n, can be found using this equation.\u003Cbr>2 × n = 42\u003Cbr>How many lights of each color did Dave hang?\u003Cbr>6) Tom plant","cbCaiiwJLJFvUzRo","https://ap.wps.com/l/cbCaiiwJLJFvUzRo","pdf",43962,"English","# Use the equation to answer each question\n## Equal-colored chairs (2 × n = 76)\n## Equal-colored balloons (2 × n = 28)\n## Equal-colored balloons (2 × n = 52)\n## Puzzle cost (4 × c = 60)\n## Kite cost (3 × c = 18)\n## Equal-colored lights (2 × n = 42)\n## Equal-colored tulips (2 × n = 54)\n## Book cost (3 × c = 42)","[{\"question\":\"How do you set up these word problems using multiplication?\",\"answer\":\"Identify the two equal groups and write an equation as a product (for example, 2 × n = total or 3 × c = total). The unknown variable represents the value you want to find.\"},{\"question\":\"What does n represent in the chair, balloon, light, and tulip problems?\",\"answer\":\"In those problems, n represents the number of items of each color (or each group), since the total is split into two equal parts.\"},{\"question\":\"How do you solve the puzzle, kite, and book cost problems (c)?\",\"answer\":\"Use the given equation showing how many identical items make the total cost (such as 4 × c = 60, 3 × c = 18, or 3 × c = 42), then divide the total by the multiplier to find c.\"}]","Solving an Equation from a Word Problem - Multiplication | PDF",1790799263]