[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-detail-466794-en":59,"doc-seo-466794-105":80},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":5,"data":60},{"doc_id":61,"user_id":62,"nickname":63,"user_avatar":64,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":66,"doc_content":67,"file_id":68,"file_url":69,"file_type":70,"file_size":71,"view_count":72,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":72,"language":73,"language_code":74,"site_id":75,"html_lang":74,"table_of_contents":76,"faqs":77,"seo_title":78,"seo_description":66,"update_tm":79,"read_time":39},466794,8796095461564,"Liam","https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Writing an Equation with a Fractional Coefficient - Answer Key","Writing an Equation with a Fractional Coefficient provides eight multiple-choice problem scenarios that model fractional relationships. Each situation describes a person completing a specific fraction of a distance, number of tickets, grid squares, stickers, quiz questions, homework, or trail distance. Students select the equation that correctly connects the given fraction and total quantity to an unknown variable. The answer key lists the correct choice for problems 1 through 8.","Writing an Equation with a Fractional Coefficient Name:  \n\n| Choose the equation that models each situation.\u003Cbr>1) Debby ran 7⁄ 10 of the way home from school. She ran 49 meters. If m represents the number of meters to her home, which equation models this?\u003Cbr>A. ( 7⁄ 10) × 49 = m B. ( 7⁄ 10)m = 49 C. ( 10⁄ 7)m = 49 D. 7m = 49\u003Cbr>2) Olivia sold 4⁄ 5 of her tickets for the fair. She sold 72 tickets. If y represents the number of tickets she had, which equation models this?\u003Cbr>A. ( 4⁄ 5) × 72 = y B. 4y = 72 C. ( 5⁄ 4)y = 72 D. ( 4⁄ 5)y = 72\u003Cbr>3) Oliver colored 3⁄ 8 of the squares on the grid. He colored 36 squares. If c represents the number of squares on the grid, which equation models this?\u003Cbr>A. ( 3⁄ 8) × 36 = c B. ( 3⁄ 8)c = 36 C. 3c = 36 D. ( 8⁄ 3)c = 36\u003Cbr>4) George donated 5⁄ 6 of his sticker collection to a friend. He donated 65 stickers. If d represents the number of stickers in his collection, which equation models this?\u003Cbr>A. ( 6⁄ 5)d = 65 B. 5d = 65 C. ( 5⁄ 6)d = 65 D. ( 5⁄ 6) × 65 = d\u003Cbr>5) Janet answered 2⁄ 5 of the questions on the quiz. She answered 24 questions. If n represents the number of questions on the quiz, which equation models this?\u003Cbr>A. ( 2⁄ 5)n = 24 B. ( 5⁄ 2)n = 24 C. 2n = 24 D. ( 2⁄ 5) × 24 = n\u003Cbr>6) Amy hiked 5⁄ 12 of a trail before lunch. She hiked 25 kilometers. If h represents the number of kilometers in the whole trail, which equation models this?\u003Cbr>A. 5h = 25 B. ( 5⁄ 12)h = 25 C. ( 5⁄ 12) × 25 = h D. ( 12⁄ 5)h = 25\u003Cbr>7) Sam finished 2⁄ 3 of his homework problems. He finished 24 problems. If w represents the number of homework problems, which equation models this?\u003Cbr>A. ( 2⁄ 3) × 24 = w B. 2w = 24 C. ( 2⁄ 3) w = 24 D. ( 3⁄ 2) w = 24\u003Cbr>8) Carol solved 7⁄ 8 of the questions on the quiz. She solved 77 questions. If m represents the number of questions on the quiz, which equation models this?\u003Cbr>A. ( 7⁄ 8)m = 77 B. 7m = 77 C. ( 7⁄ 8) × 77 = m D. ( 8⁄ 7)m = 77 | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.   |\n| --- | --- |\n\n[Math](Math www.CommonCoreSheets.com 6 1-8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6 1-8)[ 6](Math www.CommonCoreSheets.com 6 1-8)[ 1-8](Math www.CommonCoreSheets.com 6 1-8) 88 75 63 50 38 25 13 0  \n\n|  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\n Writing an Equation with a Fractional Coefficient Name: Answer Key  \n\n| Choose the equation that models each situation.\u003Cbr>1) Debby ran 7⁄ 10 of the way home from school. She ran 49 meters. If m represents the number of meters to her home, which equation models this?\u003Cbr>A. ( 7⁄ 10) × 49 = m B. ( 7⁄ 10)m = 49 C. ( 10⁄ 7)m = 49 D. 7m = 49\u003Cbr>2) Olivia sold 4⁄ 5 of her tickets for the fair. She sold 72 tickets. If y represents the number of tickets she had, which equation models this?\u003Cbr>A. ( 4⁄ 5) × 72 = y B. 4y = 72 C. ( 5⁄ 4)y = 72 D. ( 4⁄ 5)y = 72\u003Cbr>3) Oliver colored 3⁄ 8 of the squares on the grid. He colored 36 squares. If c represents the number of squares on the grid, which equation models this?\u003Cbr>A. ( 3⁄ 8) × 36 = c B. ( 3⁄ 8)c = 36 C. 3c = 36 D. ( 8⁄ 3)c = 36\u003Cbr>4) George donated 5⁄ 6 of his sticker collection to a friend. He donated 65 stickers. If d represents the number of stickers in his collection, which equation models this?\u003Cbr>A. ( 6⁄ 5)d = 65 B. 5d = 65 C. ( 5⁄ 6)d = 65 D. ( 5⁄ 6) × 65 = d\u003Cbr>5) Janet answered 2⁄ 5 of the questions on the quiz. She answered 24 questions. If n represents the number of questions on the quiz, which equation models this?\u003Cbr>A. ( 2⁄ 5)n = 24 B. ( 5⁄ 2)n = 24 C. 2n = 24 D. ( 2⁄ 5) × 24 = n\u003Cbr>6) Amy hiked 5⁄ 12 of a trail before lunch. She hiked 25 kilometers. If h represents the number of kilometers in the whole trail, which equation models this?\u003Cbr>A. 5h = 25 B. ( 5⁄ 12)h = 25 C. ( 5⁄ 12) × 25 = h D. ( 12⁄ 5)h = 25\u003Cbr>7) Sam finished 2⁄ 3 of his homework problems. He finished 24 problems. If w represents the number of homework problems, which equation models this?\u003Cbr>A. ( 2⁄ 3) × 24 = w B. 2w = 24 C. 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