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Each item gives a fraction of a quantity, a corresponding total amount (e.g., brown eggs, pounds of sand, planted seeds, miles on a bike trail, cups of water, grid squares, minutes on an album, and blue cars), and a variable representing the whole. The answer key identifies the correct option for each numbered question.",{"@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/writing-an-equation-with-a-fractional-coefficient-answer-key-466796/466796/",{"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/writing-an-equation-with-a-fractional-coefficient-answer-key-466796/466796.png","ImageObject",300,407,{"name":92,"@type":93},"Liam","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does each problem ask you to do?","Question",{"text":112,"@type":113},"For each situation, choose the equation that models the relationship between a fractional part and the whole quantity represented by a variable.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you determine the correct equation for a fraction like 7/12?",{"text":117,"@type":113},"Use the given fraction as the multiplier of the whole quantity so that the product equals the stated number of the part (e.g., 7/12 of the eggs equals 56).",{"name":119,"@type":110,"acceptedAnswer":120},"What topics are covered by the eight items?",{"text":121,"@type":113},"The worksheet covers fractional-coefficient equation modeling across contexts such as eggs, sand, seeds, bike distances, water in a jug, colored grid squares, album listening time, and counts of blue cars.","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},466796,1790821544,{"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":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},8796095461564,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Writing an Equation with a Fractional Coefficient Name:  \n\n| Choose the equation that models each situation.\u003Cbr>1) On the farm, 7⁄ 12 of the eggs were brown. There were 56 brown eggs. If e represents the number of eggs on the farm, which equation models this?\u003Cbr>A. 7e = 56 B. ( 12⁄ 7)e = 56 C. ( 7⁄ 12) × 56 = e D. ( 7⁄ 12)e = 56 |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | 1.  \u003Cbr>2.   |  |  |  |\n| 2) Ned poured 3⁄ 4 of a bag of sand into a bucket. He poured 48 pounds. If z represents the number of pounds in the whole bag, which equation models this?\u003Cbr>A. ( 4⁄ 3)z = 48 B. ( 3⁄ 4)z = 48 C. ( 3⁄ 4) × 48 = z D. 3z = 48 |  |  |  |  | 3.  \u003Cbr>4.   |  |  |  |\n| 3) Bianca planted 2⁄ 5 of the seeds in a tray. She planted 12 seeds. If t represents the number of seeds in the tray, which equation models this?\u003Cbr>A. ( 5⁄ 2)t = 12 B. ( 2⁄ 5)t = 12 C. ( 2⁄ 5) × 12 = t D. 2t = 12 |  |  |  |  | 5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |\n| 4) Kaleb rode 3⁄ 4 of a bike trail before lunch. He rode 39 miles. If b represents the number of miles in the whole trail, which equation models this?\u003Cbr>A. ( 3⁄ 4) × 39 = b B. 3b = 39 C. ( 3⁄ 4)b = 39 D. ( 4⁄ 3)b = 39 |  |  |  |  | 8.   |  |  |  |\n| 5) Robin filled 5⁄ 6 of a jug with water. That was 30 cups. If w represents the number of cups the jug holds, which equation models this?\u003Cbr>A. ( 5⁄ 6) × 30 = w B. ( 6⁄ 5) w = 30 C. 5w = 30 D. ( 5⁄ 6) w = 30 |  |  |  |  |  |  |  |  |\n| 6) Frank colored 9⁄ 10 of the squares on the grid. He colored 81 squares. If c represents the number of squares on the grid, which equation models this?\u003Cbr>A. ( 9⁄ 10) × 81 = c B. ( 10⁄ 9)c = 81 C. 9c = 81 D. ( 9⁄ 10)c = 81 |  |  |  |  |  |  |  |  |\n| 7) Maria listened to 5⁄ 12 of an album on the bus. She listened to 25 minutes. If m represents the number of minutes in the album, which equation models this?\u003Cbr>A. ( 12⁄ 5)m = 25 B. ( 5⁄ 12) × 25 = m C. 5m = 25 D. ( 5⁄ 12)m = 25 |  |  |  |  |  |  |  |  |\n| 8) In the parking lot, 7⁄ 10 of the cars were blue. There were 42 blue cars. If k represents the number of cars in the parking lot, which equation models this?\u003Cbr>A. ( 7⁄ 10) × 42 = k B. 7k = 42 C. ( 10⁄ 7)k = 42 D. ( 7⁄ 10)k = 42 |  |  |  |  |  |  |  |  |\n| 1-8 | 88 | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 7)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7)[ 7](Math www.CommonCoreSheets.com 7)  \n Writing an Equation with a Fractional Coefficient Name: Answer Key  \n\n| Choose the equation that models each situation.\u003Cbr>1) On the farm, 7⁄ 12 of the eggs were brown. There were 56 brown eggs. If e represents the number of eggs on the farm, which equation models this?\u003Cbr>A. 7e = 56 B. ( 12⁄ 7)e = 56 C. ( 7⁄ 12) × 56 = e D. ( 7⁄ 12)e = 56 | Answers |  |\n| --- | --- | --- |\n|  | 1.  D \u003Cbr>2.  B  |  |\n| 2) Ned poured 3⁄ 4 of a bag of sand into a bucket. He poured 48 pounds. If z represents the number of pounds in the whole bag, which equation models this?\u003Cbr>A. ( 4⁄ 3)z = 48 B. ( 3⁄ 4)z = 48 C. ( 3⁄ 4) × 48 = z D. 3z = 48 | 3.\u003Cbr>4. | B |\n|  |  | C |\n|  |  |  |\n| 3) Bianca planted 2⁄ 5 of the seeds in a tray. She planted 12 seeds. If t represents the number of seeds in the tray, which equation models this?\u003Cbr>A. ( 5⁄ 2)t = 12 B. ( 2⁄ 5)t = 12 C. ( 2⁄ 5) × 12 = t D. 2t = 12 | 5.\u003Cbr>6.\u003Cbr>7. | D |\n|  |  | D |\n|  |  | D |\n|  |  |  |\n| 4) Kaleb rode 3⁄ 4 of a bike trail before lunch. He rode 39 miles. If b represents the number of miles in the whole trail, which equation models this?\u003Cbr>A. ( 3⁄ 4) × 39 = b B. 3b = 39 C. ( 3⁄ 4)b = 39 D. ( 4⁄ 3)b = 39 | 8. | D |\n|  |  |  |\n| 5) Robin filled 5⁄ 6 of a jug with water. That was 30 cups. If w represents the number of cups the jug holds, which equation models this?\u003Cbr>A. ( 5⁄ 6) × 30 = w B. ( 6⁄ 5) w = 30 C. 5w = 30 D. ( 5⁄ 6) w = 30 |  |  |\n| 6) Frank colored 9⁄ 10 of the squares on the grid. He colored 81 squares. If c represents the number of squares on the grid, which equation models this?\u003Cbr>A. ( 9⁄ ","cbCailHhUy41HXUU","https://ap.wps.com/l/cbCailHhUy41HXUU","pdf",64415,"English","# Choose the equation that models each situation\n## 1-8","[{\"question\":\"What does each problem ask you to do?\",\"answer\":\"For each situation, choose the equation that models the relationship between a fractional part and the whole quantity represented by a variable.\"},{\"question\":\"How do you determine the correct equation for a fraction like 7/12?\",\"answer\":\"Use the given fraction as the multiplier of the whole quantity so that the product equals the stated number of the part (e.g., 7/12 of the eggs equals 56).\"},{\"question\":\"What topics are covered by the eight items?\",\"answer\":\"The worksheet covers fractional-coefficient equation modeling across contexts such as eggs, sand, seeds, bike distances, water in a jug, colored grid squares, album listening time, and counts of blue cars.\"}]","Writing an Equation with a Fractional Coefficient - Answer Key | PDF",1790771856]